A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?
Answer
Correct Answer:
Sphere with lesser rotational energy at bottom than cylinder
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The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is
Answer
Correct Answer:
Less than 1
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The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is
Answer
Correct Answer:
0.1 radian/sec
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A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is
Answer
Correct Answer:
8TC
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The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
Answer
Correct Answer:
464 J
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Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?
Answer
Correct Answer:
Disc with smaller density
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The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are
Answer
Correct Answer:
Infinity
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A rigid body is in a stable equilibrium if the application of any force
Answer
Correct Answer:
Can raise the CG of the body but can not lower it
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Minimum potential energy of a system will be in the position of
Answer
Correct Answer:
Stable equilibrium
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A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
Answer
Correct Answer:
Pyramid
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A block in the shape of a parallelepiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives the maximum stable block ?
Answer
Correct Answer:
2 m x 3 m
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The following is in unstable equilibrium
Answer
Correct Answer:
A solid cube resting on one edge
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A cube on a smooth horizontal surface
Answer
Correct Answer:
Can be in any of these states
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In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphical statics ?
Answer
Correct Answer:
Fink truss
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The condition of equilibrium for any system of forces in a plane is
Answer
Correct Answer:
Both (and (b)
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If the given forces P,, P2, P3 and P4 are such that the force polygon does not close, then the system will
Answer
Correct Answer:
Always reduce to a resultant force
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A funicular polygon cannot be made to pass through
Answer
Correct Answer:
More than three specified points
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The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
Answer
Correct Answer:
Q = R
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When two forces, each equal to P, act at 90° to each other, then the resultant will be
Answer
Correct Answer:
PV2
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The angles between two forces to make their resultant a minimum and a maximum respectively are
Answer
Correct Answer:
180° and 0°
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A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
Answer
Correct Answer:
109.5 mm from A
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If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
Answer
Correct Answer:
120°
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A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
Answer
Correct Answer:
120 N
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Minimum pull in a suspended cable with supports at two ends is equal to
Answer
Correct Answer:
Horizontal thrust
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A 50 kg boy climbs up an 8 m rope in the gymnasium in 10 sec. The average power developed by the boy is approximately
Answer
Correct Answer:
400 watts
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The locus of the instantaneous centre of a moving rigid body is
Answer
Correct Answer:
Centroid
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The unit of rotational inertia of a body in the C.G.S system is
Answer
Correct Answer:
Gm.cm²
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The angle of projection at which the horizontal range and maximum height of a projectile are
Answer
Correct Answer:
76°
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A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if
Answer
Correct Answer:
Floor and wall both are smooth surfaces
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The unit of force in the C.G.S. system of units is called
Answer
Correct Answer:
Dyne
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Which of the following represents the state of neutral equilibrium?
Answer
Correct Answer:
None of the above
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Two forces act at an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to
Answer
Correct Answer:
25 kg
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The total time of collision and restitution of two bodies is called
Answer
Correct Answer:
All the above
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A geostationary satellite is one that orbits the earth with a velocity of rotation of
Answer
Correct Answer:
Earth
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Periodic time of body moving with simple harmonic motion is
Answer
Correct Answer:
Inversely proportional to its angular velocity
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The numbers of funicular polygons which can be drawn to pass through two specified points in the
Answer
Correct Answer:
Infinity
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Williot-Mohr diagram is used to determine deflection in
Answer
Correct Answer:
Trusses only
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A system of coplanar forces acting on a rigid body can be reduced to
Answer
Correct Answer:
One force and one couple only
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The forces which meet at one point and have their lines of action in different planes are called
Answer
Correct Answer:
Non-coplanar concurrent forces
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The resultant of two forces acting at right angles is kg and acting at 60° is 70 kg. The forces are
Answer
Correct Answer:
3 kg and 5 kg
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For a self-locking machine, the efficiency should be
Answer
Correct Answer:
Less than 60%
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A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed of 5 rad/sec. The tension in the string is,
Answer
Correct Answer:
25 N
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A particle moving with a simple harmonic motion attains its maximum velocity when it passes
Answer
Correct Answer:
Through the mean position
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A simple pendulum of length l has an energy E when its amplitude is A. If the length of
Answer
Correct Answer:
E/2
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The phenomenon of collision of two elastic bodies takes place because bodies
Answer
Correct Answer:
All the above
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A rigid body is in stable equilibrium if the application of any force
Answer
Correct Answer:
Can raise the CG of the body but cannot lower it
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A ball that is thrown upwards returns to the ground describing a parabolic path during its flight
Answer
Correct Answer:
Horizontal component of velocity remains constant
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If the resultant of two forces have the same magnitude as either of the force, then the angle between the two forces is
Answer
Correct Answer:
120°
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A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
Answer
Correct Answer:
0.67
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When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
Answer
Correct Answer:
Virtual work
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To double the period of oscillation of a simple pendulum
Answer
Correct Answer:
Its length should be quadrupled
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If a set of given forces are such that their free vectors build a closed polygon, then
Answer
Correct Answer:
The resultant force is zero but the resultant couple may not be zero
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Joule is the unit of
Answer
Correct Answer:
Work
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The bending moment in an arch is proportional to
Answer
Correct Answer:
Intercept between the arch axis and the funicular polygon
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A retarding force on a body does not
Answer
Correct Answer:
Retard the motion of the body
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For perfectly elastic bodies, the value of the
Answer
Correct Answer:
1.0
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The centre of gravity of a triangle is at the point where three
Answer
Correct Answer:
Medians of the triangle meet
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The velocity of a moving body is
Answer
Correct Answer:
A vector quantity
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One Joule is equivalent to
Answer
Correct Answer:
1 Newton metre
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A point subjected to a number of forces will be in equilibrium, if
Answer
Correct Answer:
Sum of resolved parts in any two directions at right angles are both zero
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A disc of mass 4 kg, radius 0.5 m, and moment of inertia 3 kgm² rolls on a horizontal surface so that
Answer
Correct Answer:
200 J
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Two circular discs of the same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
Answer
Correct Answer:
Disc with a smaller density
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On a mass describing a circular path of radius, the centrifugal force
Answer
Correct Answer:
Acts towards the centre of rotation
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A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are
Answer
Correct Answer:
120 N
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For a non-concurrent force system to be in equilibrium
Answer
Correct Answer:
Both force polygon and funicular polygon must close
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The force acting on a point on the surface of a rigid body may be considered to act
Answer
Correct Answer:
At any point in the line of action of the force
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A satellite moves in its orbit around the earth due to
Answer
Correct Answer:
Centripetal force
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The centre of gravity of a homogenous body is the point at which the whole
Answer
Correct Answer:
The weight of the body is assumed to be concentrated
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The force polygon representing a set of forces in equilibrium is a
Answer
Correct Answer:
Closed polygon
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The angular speed of a car taking a circular turn of a radius of 100 m at 36 km/hr will be
Answer
Correct Answer:
0.1 rad/sec
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The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base is
Answer
Correct Answer:
1/4
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At a given instant the ship is travelling at 6 km/h due east and the ship is travelling at 8 km/h due north. The velocity relative to is
Answer
Correct Answer:
10 km/hrs
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A stone is whirled in a vertical circle, and the tension in the string is maximum
Answer
Correct Answer:
When the stone is at the lowest position
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The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends that are at the same level, is at
Answer
Correct Answer:
Supports
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The coefficient of friction depends on
Answer
Correct Answer:
Nature of surfaces only
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Three forces act on a rigid body to keep it in equilibrium. The forces must be coplanar and
Answer
Correct Answer:
Concurrent
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A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete
Answer
Correct Answer:
3.14 m/sec
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The inherent property of a body that offers reluctance to change its state of rest or uniform
Answer
Correct Answer:
Inertia
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The shape of a suspended cable under its own weight is
Answer
Correct Answer:
Catenary
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The tension in a cable supporting a lift
Answer
Correct Answer:
Is less when the lift is moving downwards
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A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
Answer
Correct Answer:
Maximum kinetic energy and minimum potential energy
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If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is
Answer
Correct Answer:
Maximum
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A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
Answer
Correct Answer:
Parabola
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The time period of a simple pendulum depends on
Answer
Correct Answer:
Both b and c
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When a circular wheel rolls on a straight track, then the shape of the body centrode and space
Answer
Correct Answer:
Circle and straight line
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A heavy ladder resting on the floor and against a vertical wall may not be in equilibrium if
Answer
Correct Answer:
Both floor and wall are smooth
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In a lifting machine with an efficiency of 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is
Answer
Correct Answer:
50
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If a force has both magnitude and direction, what is it called?
Answer
Correct Answer:
A vector quantity
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What can change the state of an object?
Answer
Correct Answer:
A force
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What is the momentum of a system identified?
Answer
Correct Answer:
A product of its mass and velocity
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What term is used for a negative magnitude of acceleration?
Answer
Correct Answer:
Deceleration
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What is the second derivative of displacement concerning time called?
Answer
Correct Answer:
Acceleration
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What is expressed as a term that gives a fractional relation of change in the object's position concerning a reference frame with time?
Answer
Correct Answer:
Velocity
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What is referred to as the minimum length between the body's initial to the final location?
Answer
Correct Answer:
Displacement
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What is the UNIT used for the measurement of mass?
Answer
Correct Answer:
Kilogram
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What does the mass of an object also help identify?
Answer
Correct Answer:
The strength of the object's gravitational attraction to other bodies
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What discipline described the effect of forces acting over a system performing the motion?
Answer
Correct Answer:
Kinetics
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What is a field of study that describes the possible motions of a body or system without evaluating the force of motion?
Answer
Correct Answer:
Kinematics
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What does statistics deal with?
Answer
Correct Answer:
Forces operating on and in a body at rest
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What discipline is concerned with the motion of any substance that can be experienced or perceived by humans without the help of instruments?
Answer
Correct Answer:
Applied Mechanics
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