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Important Questions: Oscillations of a spring: restoring force and force constant for JEE

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Part of Oscillations and Waves in JEE Main Physics.

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Q1PhysicsUnit 10: Oscillations and Waves

Find force constant for small oscillation around equilibrium:

Q2PhysicsUnit 10: Oscillations and Waves

A mass of

50 \mathrm{kg}

is suspended from a spring of stiffness

10 \mathrm{kN} / \mathrm{m}

. It is set oscillating and it is observed that two successive oscillations have amplitudes of

10 \mathrm{mm}

and

1 \mathrm{mm}

Determine the damping ratio.

Q3PhysicsUnit 10: Oscillations and Waves

When a body of mass

1.0 \mathrm{kg}

is suspended from a certain light spring hanging vertically, its length increases by

5 \mathrm{cm} .

By suspending

2.0 \mathrm{kg}

block to the spring and if the block is pulled through

10 \mathrm{cm}

and released, the maximum velocity in it in

m / s

Q4PhysicsUnit 10: Oscillations and Waves

In reality, a spring won't oscillate for ever. will

\quad

the amplitude of oscillation until eventually the system is at rest.

Q5PhysicsUnit 10: Oscillations and Waves

A light spiral spring supports a 200 g weight at its lower end. It oscillates up and down with a period of 1 sec. How much weight (gram) must be removed from the lower end to reduce the period to 0.5 sec.?

Q6PhysicsUnit 10: Oscillations and Waves

An object with a mass

\mathrm{M}

is suspended from an elastic spring with a spring constant k. The object oscillates with period T. If the mass of oscillations is quadrupled, how it will change the period of oscillations?

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