Question:

Two masses of $10\,kg$ and $5\,kg$ are suspended from a rigid support as shown in figure. The system is pulled down with a force of $150\, N$ attached to the lower mass. The string attached to the support breaks and the system accelerates downwards. If the downward force continues to act, the acceleration of the system is

Updated On: Jul 7, 2022
  • $20\,ms^{-1}$
  • $10\,ms^{-1}$
  • $5\,ms^{-2}$
  • $zero$
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The Correct Option is A

Solution and Explanation

Total force on the system will be weight of the system + 150 N = 300 N. Hence acceleration of the system when force continues to act will be 300 N/15 kg = 20 m $s^{-2}$ = a (say). Tension in the string will be 10 $\times$ a = T + 10 $\times$ g, which gives T= 100 N
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Notes on laws of motion

Concepts Used:

Laws of Motion

The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.

Newton’s First Law of Motion

Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.

Newton’s Second Law of Motion

Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Newton’s Third Law of Motion

Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.