ABCD is a horizontal surface on which a block of mass m = 20 kg is placed and coefficient of friction between this body and surface is µ = 0.5 as shown. y-axis is vertical axis and x-z plane is horizontal. The surface starts moving with an acceleration which depends on time as
m/s 2 Assuming at t = 0 block is at rest with respect to the surface. If -
't' is time when block stats slipping.]
'a' is acceleration of surface when block starts slipping
F L is limiting friction when block starts slipping
F is total force applied by surface on block at t = 1 sec .
Column I | Column II |
(i) t | [A] 200 |
(ii) a | [B] |
(iii) FL | [C] |
(iv) F | [D] 2 |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)-[D], (ii)-[C], (iii)-[A], (iv)-[B]
Sol. N = m (g + a) = 20 (10 +10) = 400 N
F pseudo = m 
= 100 t
Also F L = µN = 0.5 × 400 = 200 N
Slipping starts when 100 t = 200
t = 2 sec
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