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A thin rod of length 1 m is fixed in a vertical position inside a train, which is moving horizontally with constant acceleration 4 m/s2. A bead can slide on the rod, and friction coefficient between them is 1/2. If the bead is released from rest at the top of the rod, find the time when it will reach at the bottom.


A thin rod of length 1 m is fixed in a vertical position inside a train, which is moving horizontally with


constant acceleration 4 m/s2. A bead can slide on the rod, and friction coefficient between them is 1/2.


If the bead is released from rest at the top of the rod, find the time when it will reach at the bottom.


Grade:11

1 Answers

Prajwal kr
49 Points
8 years ago

If mass of bead is m;

mg-µN=ma

 

Now, N=pseudo force due to acceleration of train, which is equal to 4m Newton.

 

=>   mg-µ(4m)=ma

=>  g-4µ=a

=>  a=8ms-2

 

Using, second equation of motion:

1=0.5(8)t2

T=0.5sec

 

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