Home
Class 11
PHYSICS
A body of mass m attached to a spring wh...

A body of mass m attached to a spring which is oscillating with time period 4 s. If the mass of the body is increased by 4 kg, its time period increases by 2 s. Determine value of initial mass m.

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the formula for the time period of a mass-spring system and set up equations based on the information given. ### Step 1: Write the Time Period Formula The time period \( T \) of a mass \( m \) attached to a spring with spring constant \( k \) is given by the formula: \[ T = 2\pi \sqrt{\frac{m}{k}} \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

A mass M attached to a spring oscillation with a period of 2 s . If the mass is increased by 2 kg , the period increases by 1s, find the initial mass m assuming that Hooke's law is obeyed.

A mass m attached to a spring oscillates with a period of 3 second. If the mass is increased by 2 kg, the period increases by one second. Calculate the initial mass m. (Assume that elastic limit is not crossed)

A mass M , attached to a spring, oscillates with a period of 2 s . If the mass is increased by 4kg , the time period increases by one second. Assuming that Hooke's law is obeyed, find the initial mass M .

When a mass m attached to a spring it oscillates with period 4s. When an additional mass of 2 kg is attached to a spring, time period increases by 1s. The value of m is :-

A mass (M) attached to a spring, oscillates with a period of (2 sec). If the mass in increased by (2 kg) the period increases by one sec. Find the initial mass (M) assuming that Hook's Law is obeyed.

A body of mass m is attached to the 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. The value of m in kg is

A body of mass m is atteched to the lower end of a spring whose upper end is fixed .The spring has negaligible mass .When the mass m is slightly puylled down and released it oscillation with a time period of 3 s when the mass m is increased by 1kg time period of oscillations becomes 5s The value of m in kg is

A bar magnet is oscillating in the earth's magnetic field with a time period T . If the mass is increased four times, then its time period will be:

A copper sphere attached to the bottom of a vertical spring is oscillating with time period 10 s. If the copper sphere is immersed in a fluid (assume the viscosity of the fluid is negligilbe) of specfic gravity (1)/(4) of that of the copper, then time period of the oscillation is

The period of oscillation of a mass m suspended by an ideal spring is 2s. If an additional mass of 2 kg be suspended, the time period is increased by 1s. Find the value of m.