Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Vertical circular motionMedium2 minQB

PhysicsMediuminteger

Passage / Comprehension

A small slider of mass m is released from rest at A and slides along a vertical-plane track. The track is smooth from A to D and rough from D onward, with kinetic friction coefficient $μ_{k} = \frac{1}{3}$ . The track geometry is shown below.

Source diagram for Phase II Advanced shared passage group 1

The normal force $N_{B}$ exerted by the track on the slider just after its passes point B , is $α mg$ . Find the value of $α$ , where $α$ is the least integer.

Answer:

Solution:

From A to B the slider drops a height 2R along the smooth track.

$\frac{1}{2} m v_{B}^{2} = m g (2 R) \Rightarrow v_{B}^{2} = 4 g R$

Just after B, the radius is horizontal, so weight has no radial component.

$N_{B} = \frac{m v _{B}^{2}}{R} = 4 m g$

$α = 4$

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Vertical circular motion

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...