What happens to the period of a simple pendulum if its length is doubled what happens if the suspended mass is doubled?

What happens to the period of a simple pendulum if its length is doubled what happens if the suspended mass is doubled?

a) If the length is doubled, the period will increase by a factor of √2 . Doubling the mass of the bob will half the period.

What is the time period of a simple pendulum if its length is doubled?

What will be the time period of second’s pendulum if its length is doubled ? (Ans. 2.828 s) 1.

What happens to the time period of a simple pendulum if its length is increased up to four times?

Thus if the length if second pendulum is increased by 4 times, its time period gets increased by 2 times.

Under what conditions is the motion of a pendulum simple harmonic?

Analyzing the forces on a simple pendulum An object is a simple harmonic oscillator when the restoring force is directly proportional to displacement. Figure 1: A simple pendulum with length l, mass m, and displacement angle θ has a net restoring force of − m g sin ⁡ θ -mg\sin\theta −mgsinθminus, m, g, sine, theta.

Is the motion of a pendulum strictly simple harmonic?

4.Is the motion of a simple pendulum strictly simple harmonic? Ans.It is not strictly simple harmonic because we make the assumption that Sinθ =θ, which is nearly valid only if θ is very small.

Why is the motion of a simple pendulum said to be harmonic?

All the motions which can be represented by this function are known as simple harmonic motions. Motion of a simple pendulum is approximately a simple harmonic motion for small amplitudes. It stops vibrating after some-time due to drag from air i.e. loss of energy. It is in that case, known as Damped Harmonic Motion.

When the pendulum is making SHM and passes through mean position it will have?

If an oscillator executing in SHM passes through a fixed point (mean position) then the potential energy of the oscillator is zero but the kinetic energy is maximum.

At which position the speed of a particle performing SHM is maximum?

The particle will have maximum velocity when it is at the mean position and the particle will have maximum acceleration when it is at its extreme positions.

What is the velocity of a particle performing SHM at mean position?

We know that the velocity of a particle is the displacement divided by time. The answer is: Option (A): 0.5m/s .

When a particle performing SHM is at mean position it has?

The phase of that particle is π/s when it has. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Two particles execute SHM of same amplitude and frequency on parallel lines.

Why velocity is maximum at mean position in SHM?

At the equilibrium position, the velocity is at its maximum and the acceleration (a) has fallen to zero. Simple harmonic motion is characterized by this changing acceleration that always is directed toward the equilibrium position and is proportional to the displacement from the equilibrium position.

Which of the following is a necessary and sufficient condition for SHM?

Proportionality between restoring and displacement from equilibrium position.

What will be the acceleration of a particle at mean position?

At mean position, the displacement of the particle is zero. Here, k is the force constant and x is the displacement from the mean position. Therefore, the acceleration of the particle at mean position is zero.

Where is the acceleration of the body performing SHM minimum?

Irrespective of the position of the particle performing S.H.M., the direction of acceleration is always towards the mean or equilibrium position. Special Cases: Case – I: When the body is at the mean position, its displacement x = 0. Thus at the mean position, acceleration is minimum and i.e. zero.