Apendulum bob of mass m is attached to a light string of

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QUESTION:

Apendulum bob of mass m is attached to a light string of length L and is also attached to a spring of force constant k. With the pendulum in the position shown in Figure 7-47, the spring is at its unstressed length. If the bob is now pulled aside so that the string makes a small angle with the vertical and released, what is the speed of the bob as it passes through the equilibrium position? Hint: Recall the small-angle approximations: if is expressed in radians, and if then and cos u _ 1 _ 12 u V 1, sinu _ tanu _ u u2.

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QUESTION:

Apendulum bob of mass m is attached to a light string of length L and is also attached to a spring of force constant k. With the pendulum in the position shown in Figure 7-47, the spring is at its unstressed length. If the bob is now pulled aside so that the string makes a small angle with the vertical and released, what is the speed of the bob as it passes through the equilibrium position? Hint: Recall the small-angle approximations: if is expressed in radians, and if then and cos u _ 1 _ 12 u V 1, sinu _ tanu _ u u2.

ANSWER:

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We are asked to calculate the speed of the pendulum as it passes through the equilibrium position of the spring.

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