Question
Question: A block of mass 4 kg is placed across the ceiling of a room as shown. A force F = 100 N is applied a...
A block of mass 4 kg is placed across the ceiling of a room as shown. A force F = 100 N is applied at 370with the horizontal. If the coefficient of kinetic friction between the block and the ceiling is 0.50 then magnitude of acceleration of the block is:
A
17.5 m/s2s
B
15 m/s2
C
20 m/s2
D
25 m/s2
Answer
17.5 m/s2s
Explanation
Solution
For vertical equilibrium
mg + N = F sin 370
N = 60 – 40 = 20 N
For horizontal motion, applying N/L
F cos 370 - μN = ma
⇒ a = 17.5 m/s2