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

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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 50kg50 \mathrm{kg} is suspended from a spring of stiffness 10kN/m10 \mathrm{kN} / \mathrm{m}. It is set oscillating and it is observed that two successive oscillations have amplitudes of 10mm10 \mathrm{mm} and 1mm1 \mathrm{mm} Determine the damping ratio.
Q3PhysicsUnit 10: Oscillations and Waves
When a body of mass 1.0kg1.0 \mathrm{kg} is suspended from a certain light spring hanging vertically, its length increases by 5cm.5 \mathrm{cm} . By suspending 2.0kg2.0 \mathrm{kg} block to the spring and if the block is pulled through 10cm10 \mathrm{cm} and released, the maximum velocity in it in m/sm / s is
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 M\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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