Summary

This document contains multiple choice questions (MCQs) and structured questions on various physics concepts, including rotational motion, angular momentum, and torque. It's suitable for undergraduate-level physics courses or exams.

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EXERCISE 2 EXERCISE 3 4 ~ ~ERCIISE Section (A): Multiple Choice Questions (MCQs) 1. One radian is about a) 25° c) 45° b) 37°...

EXERCISE 2 EXERCISE 3 4 ~ ~ERCIISE Section (A): Multiple Choice Questions (MCQs) 1. One radian is about a) 25° c) 45° b) 37° d) 57° 2. Wheel turns with constant angular speed then: a) each point on its rim moves with constant velocity b) each point on its rim moves with constant acceleration c) the wheel turns through equal angles in equal times d) the angle through which the wheel turns in each second increases as time goes on e) the angle through which the wheel turns in each second decreases as time goes on 3. The rotational inertia of a wheel about its axle does not depend upon its a) diameter c) distribution of mass b) mass d) speed of rotation 4. A force with at given magnitude is to be applied to a wheel. The torque can be maximized by a) applying the force near the axle, radially outward from the axle. b) applying the force near the rim, radially outward. c) applying the force near the axle, parallel to a tangent to the wheel. d) applying the force at the rim, tangent to the rim 5. An object rotating about a fixed axis, I is its rotational inertia and a is its angular acceleration. Its a) is the definition of torque b) is the definition of rotational inertia c) is definition of angular acceleration d) follows directly from Newton's second law. 6. The angular momentum vector of Earth about its rotation axis, due to its daily rotation is, directed a) tangent to the equator towards east c) north b) tangent to the equator towards the d) towards the Sun. west 7. A stone of 2 kg is tied to a 0.50 m long string and swung around a circle at angular velocity of 12 rad/s. The net torque on the stone about the center of the circle is a) 0 N.m c) 12 N.m b) 6 N.m d) 72 N.m 8. A man, with his arms at his sides, is spinning on a light frictionless turntable. When he extends his arms a) his angular velocity increases b) his angular velocity remains same c) his rotational inertia decreases d) his angular momentum remains the same. 9. A space station revolves around the earth as a satellite, 100 km above the Earth's surface. What is the net force on an astronaut at rest inside the space station? a) equal to her weight on earth b) a little less than her weight on earth EXERCISE 5 c) less than half her weight on earth d) zero (she is weightless) 10. If the external torque acting on a body is zero, then its a) angular momentum is zero b) angular momentum is conserved c) angular acceleration is maximum d) rotational motion is maximum Section (B): Structured Questions CRQ: 1. For an isolated rotating body, what is the relation between angular velocity and radius? 2. When the moment of inertia of a rotating body is halved, then what will be the effect on angular velocity? 3. Compare kinematics equation of linear motion and circular motion 4. Can a small force ever exert a greater torque than a larger force? Give reason. 5. Give two real world applications of angular momentum 6. Derive relationship between torque and angular acceleration. 7. List the moment of inertia dependent factors. ERQ 1. State and explain the law of conservation of angular momentum Give two examples to illustrate it. 2. Discuss forces action on banked curve and derive relation between curve angle and velocity? 3. Derive the formula for centripetal acceleration using fundamental principles and equations, illustrating each step of the derivation 4. Derive the formula for the moment of inertia of a uniform rod or a solid sphere. Clearly illustrate each step of the derivation. 5. Defme torque and explain how does it differ from force in linear motion? Numericals: 1. A car mechanic applies a force of 800 N to a wrench for the purpose of loosening a bolt. He applies the force which is perpendicular to the arm of the wrench. The distance from the bolt to the mechanic's hand is 0.40 m. Find out the magnitude of the torque applied? (320 N.m) 2. A car accelerates uniformly from rest and reaches a speed of22 mis in 9 s If the diameter of a tire is 58 cm, find (a) the number of revolutions the tire makes during this motion, assuming no slipping, and (b) the final rotational speed of the tire in revolutions per second. (55 rev, 12 rad /s) EXERCISE 6 EXERCISE 7

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