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A conical pendulum is a weight or bob fixed on the end of a string suspended fro

ID: 2280457 • Letter: A

Question

A conical pendulum is a weight or bob fixed on the end of a string suspended from a pivot. It moves in a horizontal circular path, as shown in the diagram below.

A conical pendulum is a weight or bob fixed on the end of a string suspended from a pivot. It moves in a horizontal circular path, as shown in the diagram below. What is the tension in the string? (Use the following as necessary: m, g, and ?) What is the centripetal acceleration of the bob? (Use the following as necessary: g, and ?) Suppose the bob has a mass of 0.25 kg, the length of the pendulum is 0.80 m and the angle that it swings at is14 degree . What is the magnitude of the centripetal acceleration? What is the radius of the horizontal circular path? What is the speed of the mass?

Explanation / Answer

(a) What is the tension in the string? (Use the following as necessary: m, g, and ?)
mg = Tcos?

T = mg/cos?

(b) What is the centripetal acceleration of the bob? (Use the following as necessary: g, and ?)
tan? = ac/g
ac = gtan?

(c) Suppose the bob has a mass of 0.25 kg, the length of the pendulum is 0.80 m and the angle that it swings at is 14

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