An elastic string is fixed at one end and is wound on a drum of diameter 0.2m so that the tension in the string increases as the angle through which the drum turns increases. The torque Ton the drum then varies according to the law: T = Sr20 where S = stiffness of elastic string (S=120KN/m) r = radius of drum As the drum starts at e = 0, the work done can be calculated using calculus, for any given value of 0, as shown: (T de Determine the work done by the drum if it rotates through an angle of 0 = 21/3, %3D
An elastic string is fixed at one end and is wound on a drum of diameter 0.2m so that the tension in the string increases as the angle through which the drum turns increases. The torque Ton the drum then varies according to the law: T = Sr20 where S = stiffness of elastic string (S=120KN/m) r = radius of drum As the drum starts at e = 0, the work done can be calculated using calculus, for any given value of 0, as shown: (T de Determine the work done by the drum if it rotates through an angle of 0 = 21/3, %3D
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Transcribed Image Text:An elastic string is fixed at one end and is wound on a drum of diameter 0.2m so that the
tension in the string increases as the angle through which the drum turns increases. The torque
Ton the drum then varies according to the law:
T = Sr20
where S = stiffness of elastic string (S=120KN/m)
r = radius of drum
As the drum starts at 0 = 0, the work done can be calculated using calculus, for any given
value of 0, as shown:
ST de
Determine the work done by the drum if it rotates through an angle of 0 = 2/3,
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