A disc is kept on a smooth horizontal plane with its plane parallel to horizontal plane. A groove is made in the disc as shown in the figure. The coefficient of friction between mass m and surface of the groove is 2/5 and sin θ = 3/5. Find the acceleration of mass with respect to the frame of reference of the disc.
Text Solution
Verified by Experts(i) Now, there will be two normal as there are two contacts ; (i) Horizontal and ; (ii) Vertical N H ; (i) we get a
(10 m/s 2 )
Sol.
Solving from the frame of disc
Let acceleration of the block relative to the disc is a then
25 m cos θ – μ N = m a ..........(i)
Now, there will be two normal as there are two contacts (i) Horizontal and (ii) Vertical
N H = 25 m×sin θ = 25 × m × 
= 15 m
N V = mg = 10 m
f = μ N H + μ N V = 
(15 m) + 
(10 m) = 10 m
from (i) we get a = 
= 10 m/sec 2
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