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Scalar and Vector Notation

A block of we...

Question

A block of weight W is suspended from a spring balance. The lower surface of the block rests on a weighing machine. The spring balance reads $W_{1}$ and the weighing machine reads $W_{2}$ ( $W, W_{1}, W_{2}$ are in the same unit). Then :

A

W = W_{1} + W_{2}

if the system is at rest

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B

W > W_{1} + W_{2}

if the system moves down with some acceleration

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C

W_{1} > W_{2}

if the system moves up with some acceleration

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D

no relation between

W_{1}

and

W_{2}

can be obtained with the given description of the system

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Solution

The correct options are
A $W = W_{1} + W_{2}$ if the system is at rest
B $W > W_{1} + W_{2}$ if the system moves down with some acceleration
D no relation between $W_{1}$ and $W_{2}$ can be obtained with the given description of the system
The system will remain rest if $W = W_{1} + W_{2}$
As we know that acceleration will come due to the force .
The system moves down if $W > W_{1} + W_{2}$ .
Here the readings of the spring balance and the weighing machine are equal to the forces exerted by them on the body.

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