Coupled Pendulum Oscillations

Two equal length pendulums with same mass have a particular characteristic frequency are coupled by a spiral spring. The amplitudes of both pendulums are recorded as a function of time for various vibrational modes and different coupling factors using a motion detector. The setup can be used to study “in-phase”, “out of phase”, “beat” and "degree of coupling" mode.

Features:

• Rotary motion sensor with angular accuracy of ± 0.125 Degree and max. speed of 1 m/s.
• Data Logger with real time data plotting facility and 100K sampling rate.
• Free data analyzing software.
• Pendulum weight & pendulum coupling length can be changed.

Objectives:

• To study the characteristic frequency of uncoupled pendulum.
• To study the normal modes and resonance of coupled pendulum.
• To determine the spring constant of coupling spring.
• To calculate the time period of coupled pendulum when
  • a. Vibrate in phase mode (T0)
  • b. Vibrate in out of phase mode (T1)
  • c. Vibrate in couple mode (TC)
  • d. Beat period TB and beat frequency (FB)
  • e. To determine the degree of coupling.

Technical Data:

• Dataloger : Up to 100K SPS, memory capacity 800Ksample, Li polymer rechargeable battery, 6 in-built sensor, 4 ext. sensor port (60+ sensor available), connectivity port micro USB, 90.2 x 90.2 x 20mm(LxWxH), 120gm
• Rotary sensor : Range ± 128°, Accuracy ± 0.125°, Max. speed 1 m/s, Pulley radius 0.025 m, .015 m, 0.005 m, Input Type Digital
• Pendulum rod : Material aluminium, Rod dimension 1000 x 10mm(L x dia.), Thread M10, Hole position from top at 200mm, 350mm, 500mm, 650mm, 800mm,
• Pendulum Weight : 500 & 750g, 50mm (dia.)
• Spring : Material Stainless steel, Length 150mm, Diameter 25mm, Double Hook.
• Abase : Support rod upto 8-14mm, Cast iron, Length 280mm, supporting rod 500mm.

Scope o Delivery:

• 2 Couple pendulum rod
• 2 Pair of pendulum weight with different mass.
• 2 Support rod
• 2 ‘A’ shape base
• 2 Mounting beam
• 2 Spring with different spring constant
• 2 Rotary motion sensor
• 1 Data logger
• 1 Software CD
• 1 Sensor cable (mini USB)
• 1 Hanger
• 1 Slotted weight

Key Topics:

• Coupled pendulum
• Uncoupled pendulum
• Phase difference
• Beats
• Coupling factor
• Coupling length
• Spring constant
• Physical pendulum
• Variable mass pendulum
• Variable length pendulum