Can someone check if I did this problem right?(adsbygoogle = window.adsbygoogle || []).push({});

A horizontal force F is applied to a small block of mass m_{1}to make It slide along the top of a larger block of mass m_{2}and length L. The coefficient of friction between the blocks is [tex]\mu[/tex]. The larger block slides without friction along a horizontal surface. The blocks start from rest with the small block at one end of the larger block.

a) Find the acceleration of each block. a_{1}and a_{2}, relative to the horizontal surface.

b) In terms of L, a_{1}, and a_{2}, find the time t needed for the small block to slide off the end of the larger block.

This is what I did. f is friction, F is the applied force

a)

f = F - m_{1}a_{1}

f = m_{2}a_{2}

f = [tex]\mu[/tex]m_{1}g

[tex]\mu[/tex]m_{1}g = F - m_{1}a_{1}

a_{1}= (F - [tex]\mu[/tex]m1g) / m1

a_{2}= [tex]\mu[/tex]m1g/m2

b)

L = .5(a1 - a2)t^{2}

t = [tex]\sqrt{2L / (a1 - a2)}[/tex]

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# Homework Help: Force/friction problem

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