Applied Mechanics MCQ

A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

Answer

Correct Answer: 0.05 m/sec

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The total time of collision and restitution of two bodies, is called

Answer

Correct Answer: All these

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Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

Answer

Correct Answer: The diagonal of the parallelogram which passes through the point of intersection of the forces"

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A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

Answer

Correct Answer: 2.5 m/sec

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Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

Answer

Correct Answer: 25 kg

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The unit of Moment of Inertia of a body, is

Answer

Correct Answer: M4

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A satellite moves in its orbit around the earth due to

Answer

Correct Answer: Centripetal force

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If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

Answer

Correct Answer: 2000 metres

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The C.G. of a right circular cone lies on its axis of symmetry at a height of

Answer

Correct Answer: H/4

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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 equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2 + 5. The ratio of the accelerations after 5 sec and 3 sec will be

Answer

Correct Answer: 2

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The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

Answer

Correct Answer: 1.885 m/sec

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The Law of Polygon of Forces states that

Answer

Correct Answer: If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order

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Which one of the following laws is not applicable to a simple pendulum?

Answer

Correct Answer: The time period is proportional to its length l

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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-coplaner concurrent forces

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A Seconds pendulum executes

Answer

Correct Answer: 2.0 beats per second

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Joule is the unit of

Answer

Correct Answer: Work

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The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is , the velocities of separation of the balls will be equal to

Answer

Correct Answer: Original velocity in the opposite direction

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A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

Answer

Correct Answer: 6t + 2

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A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

Answer

Correct Answer: 10 kg

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