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 .
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter12: Thermal Energy
Section: Chapter Questions
Problem 85A
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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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