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A 100 gram bead is free to slide a long a piece of 0.8 m long string ABC. the en

ID: 1904449 • Letter: A

Question

A 100 gram bead is free to slide a long a piece of 0.8 m long string ABC. the ends of the string are attached to a vertical rod at point A and B, which are o.4m apart. when the rod is rotated, BC is Horizontal and equals to 0.3m. (a) what is the tension in the string? (b) what is the speed of bead at C? c) what is the angular velocity at C d) what is the frequency of the rotation? e) what is the period of the rotation? any help

A 100 gram bead is free to slide a long a piece of 0.8 m long string ABC. the ends of the string are attached to a vertical rod at point A and B, which are o.4m apart. when the rod is rotated, BC is Horizontal and equals to 0.3m. (a) what is the tension in the string? (b) what is the speed of bead at C? c) what is the angular velocity at C d) what is the frequency of the rotation? e) what is the period of the rotation? any help

Explanation / Answer

T sin x= mg Tcosx = mW^2 R dividing, we have, tan x = g/ W^2 R 1.33 = 9.8 / W^2 R W= 4.955 rad per sec. frequency = f= 2 pi /W = 1.26 Hz. t= 1/f = 0.788 seconds speed = v= RW = 1.486 m/s T = mg / sin x = 1.633 N

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