TestHub
TestHub

Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationMedium2 minPYQ_2016
PhysicsMediumsingle choice

A uniform wooden stick of mass 1.6 kg and lengthlrests in an inclined manner on a smooth, vertical wall of height h<lsuch that a small portion of the stick extends beyond the wall. The reaction force of the wall on the stick is perpendicular to the stick. The stick makes an angle of30owith the wall and the bottom of the stick is on a rough floor. The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick. The ratio h/land the frictional force f at the bottom of the stick are:g=10 ms-2

Question diagram: A uniform wooden stick of mass 1.6 kg and length l rests in

Options:

Answer:
D
Solution:


Force equation in x-direction,
N1cos30o-f=0 ....(i)
Force equation in y-direction,
N1sin30o+N2-mg=0....(ii)
Torque equation about O,
mgl2cos60o-N1hcos30o=0 ...(iii)
Also, givenN1=N2.....(iv)
[Note taking reaction from floor as normal reaction only]
Solving (i), (ii), (iii) and (iv) we have
hl=3316andf=1633

Stream:JEE_ADVSubject:PhysicsTopic:RotationSubtopic:Torque / angular acceleration
2mℹ️ Source: PYQ_2016

Doubts & Discussion

Loading discussions...