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Simple Harmonic Oscillation

A block of ma...

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A block of mass m is attached to one end of a masslessspring which is suspended vertically from a fixedpoint. The mass is held in hand so that the springis neither stretched nor compressed. Suddenly thesupport of the hand is removed. The lowest positionattained by the mass during oscillation is 4 cm belowthe point, where it was held in hand. The amplitudeof the oscillation is(d) 4 cm(c) 3 сm(b) 2 сm(а) 1 cm

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Q. A block of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is

4 c m

below the point, where it was held in hand. The amplitude of the oscillation is then

Q. A spring with no mass attached to it hangs from a rigid support. A mass m is now hung on the lower end to the spring. The mass is supported on a platform so that the spring remains relaxed. The supporting platform is then suddenly removed and the mass begins to oscillate. The lowest position of mass during the oscillation is 5 cm below the place where it was resting on the platform. What is the angular frequency of oscillation? Take

g = 10 m s^{- 2}

Q. A spring with no mass attached to it hangs from a rigid support. A mass m is now hung on the lower end to the spring. The mass is supported on a platform so that the spring remains relaxed. The supporting platformis then suddenly removed and the mass begins to oscillate. The lowest position of the mass during the oscillation is 5 cm below the place where it was resting on the platform. What is the angular frequency of oscillation? Take g = 10

m s^{- 2}

Two springs with negligible masses and force constants

k_{1} = 200 N / m

k_{2} = 160 N / m

are attached to the block of mass

m = 10 k g

as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time

t = 0 s

, sharp impulse of

50 N s

is given to the block with a hammer along the spring.

Q. In the figure shown, a block

A

m

is rigidly attached to a light spring of stiffness

k

and suspended from a fixed support. Another block

B

of same mass is just placed on it and the blocks are in equilibrium. Suddenly, the block

B

is removed. Choose the correct option(s) afterward.

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