Question 7: Two identical blocks of mass m are connected by a massless rope over a pulley of massM with radius R and moment of inertia I =MR? about its center of mass. The rope does notslip on the pulley. One of the masses is on an frictionless inclined plane making an angle 0 with thehorizontal as shown in the figure below. The system is released at t=0 from rest. Finda) the acceleration of each block and the angular acceleration of the pulley in terms of the givenquantities and g (the gravitational acceleration), andb) the first period of the pulley in terms of the given quantities and g (the gravitational accelera-tion).IRm

Answered: Image /qna-images/answer/908ecd77-f9d2-456f-8d71-031f43f249aa.jpg

norizontal as shown in the Ingure below. Lhe system is released at t=U from rest. a) the acceleration of each block and the angular acceleration of the pulley in terms of the given quantities and g (the gravitational acceleration), and h th f th miuon cuentitio (the quouitoti

norizontal as shown in the Ingure below. Lhe system is released at t=U from rest. a) the acceleration of each block and the angular acceleration of the pulley in terms of the given quantities and g (the gravitational acceleration), and h th f th miuon cuentitio (the quouitoti

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.16P

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

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