Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minQB
PhysicsEasynumerical

A solid spherical ball of radius59 mis connected to a pointAon the wall with the help of a string which makes an angleθ=45°with the vertical. The sphere can rotate freely about its central axis and it is set into rotational motion against the vertical face of the wall with an angular velocity100 rad s-1. In how much time (ins) will it come to rest? [μ=0.1]


Answer:
20.00
Solution:

FBD of the spherical ball



For translational equilibrium
T cos45°=Mg+μN
T sin15° = N
AlsoτΔt=ΔL
⇒μNR Δt=Iω0
Δt=25MR2ω0μNR
Solving we get t = 20 s

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Torque / angular acceleration
⏱ 2mℹ️ Source: QB

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