A 50 kg block (A) is hoisted by the pulley system and motor M as shown in the figure. The motor has an efficiency of 0.8. At this instant, point P on the cable has a velocity of 12 m/s which is increasing at a rate of 6 m/s?. Neglect the mass of the pulleys and cable. Calculate the power supplied to the motor at this instant. 12 m/s 6 m/s² (20 marks) Note: Draw a FBD of the block and define the position coordinates. Use the equation of motion to determine the cable tension. Then calculate the power supplied by the motor and then to the motor.
A 50 kg block (A) is hoisted by the pulley system and motor M as shown in the figure. The motor has an efficiency of 0.8. At this instant, point P on the cable has a velocity of 12 m/s which is increasing at a rate of 6 m/s?. Neglect the mass of the pulleys and cable. Calculate the power supplied to the motor at this instant. 12 m/s 6 m/s² (20 marks) Note: Draw a FBD of the block and define the position coordinates. Use the equation of motion to determine the cable tension. Then calculate the power supplied by the motor and then to the motor.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A 50 kg block (A) is hoisted by the pulley system
and motor M as shown in the figure. The motor
has an efficiency of 0.8. At this instant, point P
on the cable has a velocity of 12 m/s which is
increasing at a rate of 6 m/s2. Neglect the mass
of the pulleys and cable. Calculate the power
supplied to the motor at this instant.
12 m/s
.2
6 m/s
(20 marks)
Note: Draw a FBD of the block and define the
position coordinates. Use the equation of motion
to determine the cable tension. Then calculate
the power supplied by the motor and then to the
motor.
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