Question

As shown in the figure a person is pulling a mass 'm' from ground on a
flxed rough hemispherical surface upto the top of the hemisphere with
the help of a light inextensible string. Find the work done (in Joules) by
tension in the string on mass m ir radius of hemisphere is R and friction
coefficient is . Assume that the block is pulled with negligible velocity
(take u=0.1, m = 1kg, g=10m/s, R = 1m).
me​

Answer 1

Explanation:

I hope you will understand

Answer 2

Let at angle θ, the work done in moving the object by angular distance dθ is given as,

F⋅dx=(μsinθ)mg(Rdθ)

The work done is given as,

μRmg∫

0

2

π

sinθdθ=μRmg

The work done by tension in the string is given as,

T=μmgR+mgR

=(μ+1)mgR

=(0.1+1)×1×10×1

=11N

Thus, the work done by tension in the string is 11N.