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Q.

A block of mass ‘M’ is attached with a spring of spring constant ‘K’. The whole arrangement is placed on a vehicle as shown in fig. If the vehicle starts moving towards right with an acceleration ‘a’ (all surfaces are smooth) then.

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a

Maximum compression in the springs

' \frac{2Ma}{k}'

b

Maximum elongation in the spring is

' \frac{2Ma}{k}'

c

Maximum elongation in the spring is

' \frac{Ma}{K}'

d

In spring compression not possible

answer is B, D.

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Detailed Solution

W_{total} = Δ K

$W_{e x t} + W_{nC} = Δ U + Δ K$

$W_{n C} = 0 (friction absent)$

Question Image

$(Ma) x_{\max} = \frac{1}{2} K x_{\max}^{2}$

$x_{\max} = \frac{2Ma}{K}$

$x_{compresion} = 0$

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A block of mass ‘M’ is attached with a spring of spring constant ‘K’. The whole arrangement is placed on a vehicle as shown in fig. If the vehicle starts moving towards right with an acceleration ‘a’ (all surfaces are smooth) then.