Home
Class 11
PHYSICS
A 0.2 kg of mass hangs at the end of a s...

A 0.2 kg of mass hangs at the end of a spring. When 0.02 kg more mass is added to the end of the spring, it stretches 7 cm more. If the 0.02 kg mass is removed, what will be the period of vibration of the system?

Text Solution

Verified by Experts

When 0.02 kg mass is added, the spring stretches by 7 cm
As `mg=kx`
`therefore k=(mg)/(x)=(0.02xx10)/(7xx10^(-2))=(20)/(7)Nm^(-1)`
When 0.02 kg mass is removed, the period of vibration will be
`T=2xsqrt((m)/(k))=2pisqrt((0.2)/(20//7))=2pisqrt((7)/(100))=(2pixx2.645)/(10)=1.66s`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (3-MARKS QUESTIONS )|2 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

  • PROPERTIES OF MATTER

    FULL MARKS|Exercise Additional Questions Solved - Numerical Questions|19 Videos

Similar Questions

Explore conceptually related problems

Figure 14.26 (a) shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure 14.26 (b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in Fig. 14.26(b) is stretched by the same force F. If the mass in Fig. (a) and the two masses in Fig. (b) are released, what is the period of oscillation in each case ?

A spring compressed by 10 cm develops a restoring force of 10 N.A body of mass 9 kg is placed on it . What is the force constant of the spring ? What is the depression in the spring under the weight of the body? What is the period of oscillation if the body is disturbed from its equilibrium position?

Find the moment of inertia of a mass of 5 kg and another mass 10 kg about an axis of rotation which is 0.2 m from the 5 kg mass and 0.4 m from the 10 kg mass. Find the radius of gyration for the system.

A body of mass m is attached to lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. Find the value of m is kg.

Figure 14.26 (a) shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure 14.26 (b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in Fig. 14.26(b) is stretched by the same force F. What is the maximum extension of the spring in the two cases ?

An ideal spring of spring constant k, is suspended from the ceiling of a room and a blok of mass m is fastened to its lower end. If the block is released when the spring is un-stretched, then then maximum extension in the spring is :

An ideal spring of spring constant k, is suspended from the ceiling of a room and a blok of mass m is fastened to its lower end. If the block is released when the spring is un-stretched, then then maximum extension in the spring is :