As shown in the figure a person is pulling a mass ' m ‘from ground on a fixed 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 if radius of hemisphere is R and friction coefficient is µ. Assume that the block is pulled with negligible velocity (take µ = 0.1, m = 1kg, g = 10m/s 2 , R = 1m).
Text Solution
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(11 J)
Sol. Work energy Theorem on “m”
W G + N + W T + W f = 
K
– mg R + O + W T – 
R dθ = 0
W T = mgR (µ + 1)
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