Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

In the scenario of an object being pulled along an inclined plane by a hanging mass, the acceleration a is derived as:
Options
A a = ((m2 - m1)/ (m1 + m2))g
B a = ((m2 - m1 sinθ)/ (m1 + m2))g
Correct Answer
C a = ((m2 sinθ - m1)/ (m1 + m2))g
D a = ((m2 - m1 cosθ)/ (m1 + m2))g
Correct Answer

Option B is the correct answer.

Detailed Explanation

For mass m1 on the incline, the force component down the plane is m1g sinθ. The net driving force for the system is m2g (for the hanging mass) minus m1g sinθ (for the block on the incline). This net force accelerates the total mass (m1 + m2), leading to the given formula.

Hint

The force trying to pull m1 back is the component of its weight parallel to the slope.

Question Info