A load of mass 230 kg is lifted by means of a rope which is wound several times round a drum and which then supports a balance mass of 140 kg. As the load rises, the balance mass falls. The drum has a diameter of 1.2 m and a radius of gyration of 530 mm and its mass is 70 kg. The frictional resistance to the movement of the load is 110 N, and that to the movement of the balance mass 90 N. The frictional torque on the drum shaft is 80 N-m. Find the torque required on the drum, and also the power required, at the instant when the load has an upward velocity of 2.5 m/s and an upward acceleration of 1.2 m/s2 .
A load of mass 230 kg is lifted by means of a rope which is wound several times round a drum and which then supports a balance mass of 140 kg. As the load rises, the balance mass falls. The drum has a diameter of 1.2 m and a radius of gyration of 530 mm and its mass is 70 kg. The frictional resistance to the movement of the load is 110 N, and that to the movement of the balance mass 90 N. The frictional torque on the drum shaft is 80 N-m. Find the torque required on the drum, and also the power required, at the instant when the load has an upward velocity of 2.5 m/s and an upward acceleration of 1.2 m/s2 .
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.30P
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A load of mass 230 kg is lifted by means of a rope which is wound several times round a drum and
which then supports a balance mass of 140 kg. As the load rises, the balance mass falls. The drum has
a diameter of 1.2 m and a radius of gyration of 530 mm and its mass is 70 kg. The frictional resistance
to the movement of the load is 110 N, and that to the movement of the balance mass 90 N. The
frictional torque on the drum shaft is 80 N-m.
Find the torque required on the drum, and also the power required, at the instant when the load has an
upward velocity of 2.5 m/s and an upward acceleration of 1.2 m/s2
.
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