14.17 A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period?
14.17 A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period?
The bob of the simple pendulum will experience the acceleration due to gravity and the centripetal acceleration provided by the circular motion of the car.
Acceleration due to gravity = g
Centripetal acceleration = , where v is the uniform speed of the car and R is radius of the track.
Effective accel
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Velocity of block in equilibrium, in first case,
Velocity of block in equilibrium, is second case,
From conservation of momentum,
Mv = (M + m) v’
f? = 300 Hz
3rd overtone = 7f? = 2100 Hz
Kindly consider the following figure
K = U
½ mω² (A² - x²) = ½ mω²x²
A² - x² = x²
A² = 2x²
x = ± A/√2
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physics ncert solutions class 11th 2023
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