Question:
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
Updated On: Jul 5, 2022
- both the scales read M kg each
- the scale of the lower one reads M kg and of the upper one zero
- the reading of the two scales can be anything but the sum of the readings will be M kg
- both the scales read M / 2 kg
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The Correct Option is A
Solution and Explanation
The arrangement is shown in figure.Now draw the free body diagram of the spring balances and block.For equilibrium of block, $ {{T}_{1}}=Mg $ where $ {{T}_{1}}= $ Reading of $ {{S}_{2}} $ For equilibrium of $ {{S}_{2}},\,\,{{T}_{2}}={{T}_{1}} $ where $ {{T}_{2}}= $ Reading of $ {{S}_{1}} $ For equilibrium of $ {{S}_{1}},\,\,{{T}_{2}}={{T}_{3}} $ Hence, $ {{T}_{1}}={{T}_{2}}=Mg $ So, both scales read $ M\,\,kg $ .
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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.