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ROTATIONAL MECHANICS

ROTATIONAL MECHANICS

ROTATIONAL MECHANICS

REST AND MOTION : KINEMATICS

SIMPLE HARMONIC MOTION

can an object be in pure translation as well as in pure rotation?

Let →A be a unit vecrtor along the axis of rotation of a purely rotating body and →B be a unit vector along the velocity of a particle P of the body away from the axis. The value of →A.→B is

A wheel is making revolutions about its ais with unifrom angular acceleration. Starting from rest, ilt reaches 100 rev/sec in 4 seconds. Find the angular acceleration. Find the angle rotated during these four seconds.

A man has to go 50 m due north, 40 m due east and 20 m due south to reach a field, What distance he has to walk to reach the field? b.What is his displacement from his house to the field?

A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6s. Ast t=0 it is at position x=5 cm going towasrds positive x-direction. Write the eqwuation for the displacement x at time t. Find the magnitude of the acceleration of the particle at t=4s.

Consider the situation shown in figure. All the surfaces are frictions and the string and the pulley are light. Find the magnitude of the acceleration of the two blocks.

Solve the previous problem if the pulley has a moment of inertia I about its axis and the string does not slip over it.

Consider the situation as shown. The pulley has a moment of inertia I, and radius r, the block is in equilibrium. Find the time period of mass m. Assume no slipping.

An object of mass m is tied to a light string wound around a pulley that has a moment of inertia I and radius R. The wheel bearing is fricrtionless and the string does not slip on the run. Find the tension in the string and the acceleration of the object.

Two blocks are connected by a string that passes over a pulley of radius R and moment of inertia I. The block of mass m1 sides on a frictionless, horizontal surface, the block of mass m2 is suspended from the string. Find the acceleration a of the blocks and the tension T1 and T2 assuming that the string does not slip on the pulley.

चित्र 18.W3 में दिखाई गई घिरनी की त्रिज्या R तथा अपने अक्ष के प्रति जड़त्व आघूर्ण। है। रस्सी नगण्य भार बाली है और घिरनी पर नहीं फिसलती है दोनों गुटको के त्वरण का परिमाण निकालें

दो द्रव्यमान तथा M एक घिरनी पर से होकर गुजर रही एक रस्सी से जुड़ हुए है (चित्र 18.E4)। द्रव्यमान m चिकनी क्षैतिज टेबुल पर फिसलता है। घिरनी की त्रिज्या r है तथा अक्ष के परितः इसक जड़त्व आघूर्ण I है। यह अपने अक्ष के परितः मुक्त रूप से घूर्णन कर सकती है। यह मानते हुए कि घिरनी पर रस्सी फिसलती नहीं है, द्रव्यमान M का त्वरण ज्ञात करें

In the figure, the blocks unequal masses m1 and m2 (m1<m2).m2 has a downward acceleration a. The pulley P has a radius r, and some mass. The string does not slip on the pulley. Find the acceleration of block and angular acceleration of pulley. (I = momentum of inerita of pulley)

Three blocks of masses m1,m2andm3 are connected as shown in the figure. All the surfaces are frictionless and the string and the pulleys are light. Find the acceleration of m1

Figure shows two blocks of masses m and M connected by a string passing over a pulley. The horizontal table over which the mass m slides is smooth. The pulley has a radius r and moment of inertia I about its axis and it can freely rotate about this axis. Find the acceleration of the mass M assuming that the string does not slip on the pulley.

The pulleys in figure are identical, each having a radius R and moment of inertia I. Find the acceleration of the block M.