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

A 0.2kg of mass hangs at the end of a spring. When 0.02kg 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

The correct Answer is:
`1.66`
When 0.02 kg mass is added, the spring stretches by 7 cm
As mg = Kx
` :. K = (mg)/( x) = (0.02 xx 10)/( 7 xx 10^(-2)) = (20)/( 7) Nm^(-1)`
When 0.02 kg mass is removed the period of vibration will be
`T = 2 pi sqrt((m.)/(K)) = 2 pi sqrt(( 0.2)/(20//7))`
`= 2 pi sqrt((7)/(100)) = (2 pi xx 2.645)/(10) = 1.66` s
Promotional Banner

Similar Questions

Explore conceptually related problems

A mass of 0.1 kg hangs at the end of a spring. When a mass of 0.01 kg more is added at the end of the spring, it stretches by 5 cm more. When the extra 0.01 kg mass is removed, determine the time period of vibration of the system.

A 50 g mass hangs at the end of a massless spring. When 20 g more are added to the end of the spring, it stretches 7.0 cm more. (a) Find the spring constant. (b) If the 20 g are now removed, what will be the period of the motion ?

When a mass m is hung on a spring, the spring stretched by 6 cm. If the loaded spring is pulled downward a little and released, then the period of vibration of the system will be

Three mass 0.1 kg ,0.3 kg and 0.4 kg are suspended at end of a spring. When is 0.4 kg mass is removed , the system oscillates with a period 2 s . When the 0.3 kg mass is also removed , the system will oscillates with a period

When a 1.0kg mass hangs attached to a spring of length 50 cm, the spring stretches by 2 cm. The mass is pulled down until the length of the spring becomes 60 cm. What is the amount of elastic energy stored in the spring in this condition. if g = 10 m//s^(2).

A 4-kg block extends a spring by 16 cm from its unstretched postion .The block is removed and a 0.5 -kg boby is hung from the same spring If the spring is then stretched and released , what is the time period of oscillations of the mass suspendrd ? What is the force constant of the spring ?

When a 20 g mass hangs attached to one end of a light spring of length 10 cm, the spring stretches by 2 cm. The mass is pulled down until the total length of the spring is 14 cm. The elastic energy, (in Joule) stored in the spring is :

A block with a mass of 3.00 kg is suspended from an ideal spring having negligible mass and stretches the spring by 0.2 m . (a) What is the force constant of the spring? (b) What is the period of oscillation of the block if it is pulled down and released ?

A spring of force constant 1200Nm^(-1) is mounted on a horizontal table as shown in figure. A mass of 3.0kg is attached to the free end of the spring, pulled side ways to a distance of 2.0cm and released. Determing. (a) the frequency of oscillation of the mass. (b) the maximum acceleration of the mass. (c) the maximum speed of the mass.