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Byju's Answer

Standard XII

Physics

Spring Force

Two blocks of...

Question

Two blocks of mass M and m, are used to compress two different massless springs as shown in the figure. The left spring is compressed by $3 cm$ , while the right spring is compressed by an unknown amount. The system is at rest and all contact surfaces are smooth. Which of the following statements are true?

The force exerted on block of mass m by the right spring is 6 N to the left.

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The force exerted on block of mass m by the right spring is impossible to determine.

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The net force on block of mass m is zero.

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The normal force exerted by block of mass m on block of mass M is 6 N.

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Solution

The correct option is D The normal force exerted by block of mass m on block of mass M is 6 N.
Let F be the force exerted by mass m on mass M.
FBD of mass M

$F = k_{1} x_{1} = 2 \times 3$
$= 6 N$
FBD of mass m

$k_{2} x_{2} = F = 6 N$ to the left
Hence the force exerted on block of mass m by the right spring $(k_{2} x_{2})$ is 6 N to the left. From FBD, the normal reaction (F) between blocks is 6 N.
As system is at rest, net force on block of mass m is zero.

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