In the given figures find the accelerations and the friction forces involved
(i) 
(ii) 
(iii) 
(iv) 
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) 
a A = 
= 
= 3
a B = 
= 0
f AB = 0, f BG = 0.
(ii) 
f BG ≤ 75
Since f AB can’t be greater than f BG therefore acceleration of B will be zero.
and a A = 
= 1m/sec 2
f AB = 25 N, f BG = 25 N.
(iii) 
f AB ≤ 25 ⇒ a A ≤ 
or ; k a A ≤ 5
Let there is no sliding between A and B then common acceleration of A and B.
= 
= 8.33
Since a A ≤ 5 ⇒ Hence, there will be sliding between A and B in that case.
a A = 5 m/sec 2 , a B = 
= 10 m/sec 2
f AB = 25 N, f BG = 75 N.
(iv) 
a A ≤ 5
Let A and B move together then common acceleration.
= 
= 1m/sec 2
As common acceleration is less than a A hence A and B will move together
∴ a A = 1m/sec 2 , a B = 1m/sec 2
f AB = m A × 1 = 5N, f BG = 75 N.
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