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# CBSE Class 11-science Answered

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Asked by Vipulgautam050 | 26 Aug, 2021, 08:57: AM
It is assumed that ' find x ' means to find the x-coordinate of particle-A

We are given that speed vA of particle-A when angular displacement θ = (π/6) as

............................(1)
Angular speed ωA of particle-A is

............................(2)
Whn the system of light rod of length r and particle-A starts from rest ,
angular velocity ωA when the angular displacement is θ is determined from kinematics as

where α is angular acceleration

Using eqn.(2) , above expression is written as

...............................................(3)
Above expression is simplified as

............................(4)
Angular acceleration α is determined using Newtons law to the rotational motion of system
that consists of rod and particl-A about the pivot point O .

τ = r × T × sin [ (π/4) + (θ/2) ] = I × α

where T is tension force that is giving torque τ and I is moment of inertia

r × T × sin [ (π/4) + (θ/2) ] = ( mA r2× α  ............................ (5)

where mA is mass of particle-A

If we apply Newton's law of motion to the block-B, then we have

mB g - T = mB

T = mB ( g - a ) =   mB
Answered by Thiyagarajan K | 26 Aug, 2021, 07:42: PM

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