Four pendulums A, B, C and D are suspended from the same elastic support as shown in figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement.

Question

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Answer 1

Since length of pendulum A and C is same and $T = 2 π \frac{L}{g}$ , hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum C will vibrate with maximum amplitude.

Answer 2

Since length of pendulum A and C is same and

T = 2 π \frac{L}{g}

, hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum C will vibrate with maximum amplitude.

Four pendulums A, B, C and D are suspended from the same elastic support as shown in figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement.

D will vibrate with maximum amplitude.

C will vibrate with maximum amplitude.

B will vibrate with maximum amplitude.

All the four will oscillate with equal amplitude.

Since length of pendulum A and C is same and $T = 2 π \frac{L}{g}$ , hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum C will vibrate with maximum amplitude.

The bob of a simple pendulum of length L is released at t = 0 from a position of small angular displacement $θ$ . Its linear displacement at any time t is given by

From a fixed support, two small identical spheres are suspended by means of strings of length $1$ m each. They are pulled aside as shown and then released. B is the mean position. Then the two spheres collide.

Figure shows the kinetic energy $K$ of a simple pendulum versus its angle $θ$ from the vertical. The pendulum bob has mass $0.2 k g$ . The length of the pendulum is equal to $(g = 10 m / s^{2})$ .

The bob in a simple pendulum of length $φ$ is released at t = 0 from the position of small angular displacement $θ_{0}$ . Linear displacement of the bob at any time t from the mean position is given by

The bob in a simple pendulum of length $ℓ$ is released at $t = 0$ from the position of small angular displacement $θ$ . Linear displacement of the bob at any time $t$ from the mean position is given by

Revise with Concepts

Simple Pendulum

Four pendulums A, B, C and D are suspended from the same elastic support as shown in figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement.

D will vibrate with maximum amplitude.

C will vibrate with maximum amplitude.

B will vibrate with maximum amplitude.

All the four will oscillate with equal amplitude.

Since length of pendulum A and C is same and T=2πgL​​, hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum C will vibrate with maximum amplitude.

The bob of a simple pendulum of length L is released at t = 0 from a position of small angular displacement θ. Its linear displacement at any time t is given by

From a fixed support, two small identical spheres are suspended by means of strings of length 1m each. They are pulled aside as shown and then released. B is the mean position. Then the two spheres collide.

Figure shows the kinetic energy K of a simple pendulum versus its angle θ from the vertical. The pendulum bob has mass 0.2 kg. The length of the pendulum is equal to (g=10 m/s2).

The bob in a simple pendulum of length φ is released at t = 0 from the position of small angular displacement θ0​. Linear displacement of the bob at any time t from the mean position is given by

The bob in a simple pendulum of length ℓ is released at t=0 from the position of small angular displacement θ. Linear displacement of the bob at any time t from the mean position is given by

Revise with Concepts

Simple Pendulum

Since length of pendulum A and C is same and $T = 2 π \frac{L}{g}$ , hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum C will vibrate with maximum amplitude.

The bob of a simple pendulum of length L is released at t = 0 from a position of small angular displacement $θ$ . Its linear displacement at any time t is given by

From a fixed support, two small identical spheres are suspended by means of strings of length $1$ m each. They are pulled aside as shown and then released. B is the mean position. Then the two spheres collide.

Figure shows the kinetic energy $K$ of a simple pendulum versus its angle $θ$ from the vertical. The pendulum bob has mass $0.2 k g$ . The length of the pendulum is equal to $(g = 10 m / s^{2})$ .

The bob in a simple pendulum of length $φ$ is released at t = 0 from the position of small angular displacement $θ_{0}$ . Linear displacement of the bob at any time t from the mean position is given by

The bob in a simple pendulum of length $ℓ$ is released at $t = 0$ from the position of small angular displacement $θ$ . Linear displacement of the bob at any time $t$ from the mean position is given by