Laws of MotionHard
Question
Which of the following statements is / are CORRECT for the figure shown.
Options
A.The magnitude of limiting frictional force on mass A is 15 N.
B.The magnitude of limiting frictional force between mass B and ground is 100 N.
C.Force F is increasing continuously, maximum acceleration of A is 3 m/s2.
D.Force F is increasing continuously, when sliding starts between block A and B, the minimum acceleration of B relative to A is 2 m/s2.
Solution
Static limiting frictional force on mass A = μS mAg = 0.3 × 5 × 10 = 15 N
Static limiting frictional force on mass B = μ′B (mA + mB)g = 0.5 × (5 + 15) 10 = 100 N
After the block A start sliding, for the motion of mass A uk mA g = mAaA ⇒ aA = μkg = 0.1 × 10 = 1 m/s2
and F = 80 N + (15 + 5) × 3 = 140 N
aA = 1 m/s2 & aB =
m/s2
Static limiting frictional force on mass B = μ′B (mA + mB)g = 0.5 × (5 + 15) 10 = 100 N
After the block A start sliding, for the motion of mass A uk mA g = mAaA ⇒ aA = μkg = 0.1 × 10 = 1 m/s2
and F = 80 N + (15 + 5) × 3 = 140 N
aA = 1 m/s2 & aB =
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