Question

h
A block of mass m rests on a rough horizontal
surface with a rope tied to it. The co-efficient of
friction between the surface and the block is u.
A monkey of the same mass climbs at the free
end of the rope. The maximum acceleration
with which the monkey can climb without
moving the block is-​

Answer 1

Answer:

amonkey/rope=g/4

Let acceleration of M=a0

So, acceleration of rope =a0

→

a

monkey=

→

a

monkey/rope+

→

a

rope=(a0-g/4)

Now for mass M, T-μMg=Ma0……(1)

For monkey mg-T=m(a0-g/4)......(2)

From equation (1) and (2)

mg-μMg=a0(M+m)-

mg

4

 

⇒a0=(

5m

4

 

-μM)g/(M+m)=

(5m-4μM)g

4(M+m)

 

∴

Explanation:

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