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RELATIVE AND DEPENDENT MOTION Lecture Sample Problems Sample Problem 1 The crate is being lifted up the inclined plane using the motor M and the rope and pulley arrangement shown. The mass of the grate is 100 kg. The coefficient of kinetic friction between the crate and its supporting surface is 0.35. Find: a. The speed $v_p$ at which the cable must be taken up by the motor in order to move the crate up the plane with a constant speed of 4 ft/sec. b. The kinetic energy of the crate in N-m units c. The tension in the cable using the Work-Energy method when the crate is displaced 2 ft (can Newton's Second Law also be used to answer this question?) BONUS d. The power required by the motor when the crate is displaced 2 ft and if the efficiency of the motor is 85% Answer: $v_p = 12$ ft/sec

          RELATIVE AND DEPENDENT MOTION
Lecture Sample Problems
Sample Problem 1
The crate is being lifted up the inclined plane using the motor M and the rope and
pulley arrangement shown. The mass of the grate is 100 kg. The coefficient of
kinetic friction between the crate and its supporting surface is 0.35.
Find:
a. The speed $v_p$ at which the cable must be taken up by the
motor in order to move the crate up the plane with a constant
speed of 4 ft/sec.
b. The kinetic energy of the crate in N-m units
c. The tension in the cable using the Work-Energy method
when the crate is displaced 2 ft (can Newton's Second Law
also be used to answer this question?)
BONUS
d. The power required by the motor when the crate is
displaced 2 ft and if the efficiency of the motor is 85%
Answer: $v_p = 12$ ft/sec

RELATIVE AND DEPENDENT MOTION
Lecture Sample Problems
Sample Problem 1
The crate is being lifted up the inclined plane using the motor M and the rope and
pulley arrangement shown. The mass of the grate is 100 kg. The coefficient of
kinetic friction between the crate and its supporting surface is 0.35.
Find:
a. The speed vp at which the cable must be taken up by the
motor in order to move the crate up the plane with a constant
speed of 4 ft/sec.
b. The kinetic energy of the crate in N-m units
c. The tension in the cable using the Work-Energy method
when the crate is displaced 2 ft (can Newton's Second Law
also be used to answer this question?)
BONUS
d. The power required by the motor when the crate is
displaced 2 ft and if the efficiency of the motor is 85%
Answer: vp = 12 ft/sec

Added by Amber F.

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