The system is released from rest when yg = 0 at t = 0 and, after 3 s, it takes the configuration shown. Block B has a constant downward acceleration of ag (given below). The total length of the rope is L (given below). The masses of the collar A and the block B are maA = 2 kg and mg = 4 kg. Neglect friction in the system. 4 m YA a) Determine ya and yg at the instant shown. (After 3 s!) b) Determine the displacement Aya of A from t = 0 to t = 3 s. (Note that ag is not constant!) (Hint: Use the constraint equation due to the rope!) c) Determine vA and vg at the instant shown.

Classical Dynamics of Particles and Systems
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ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.5P
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A(b) = 1.28 m/s^2  ↓ (????????),  Length of the rope L = 18 m

The system is released from rest when yg = 0 at t = 0 and, after 3 s, it
takes the configuration shown. Block B has a constant downward
acceleration of ag (given below). The total length of the rope is L (given
below). The masses of the collar A and the block B are maA = 2 kg and
mg = 4 kg. Neglect friction in the system.
4 m
YA
a) Determine ya and yg at the instant shown. (After 3 s!)
b) Determine the displacement Aya of A from t = 0 to t = 3 s. (Note
that aa is not constant!) (Hint: Use the constraint equation due to
the rope!)
c) Determine va and vg at the instant shown.
d) Determine the relative velocity of A with respect to B. (Show the direction!)
e) Draw the free-body diagrams of A and B and write the equations of motion, EF = mã, for A
and B at the instant shown. (Do not solve the equations!)
f) By solving the equations obtained in part (e), determine the acceleration of A, the tension in
the rope, and the normal force on A due to the vertical rod at the instant shown.
g) Determine the work done on A by the tension force during the displacement from t = 0 to
t = 3 s. (Hint: Use the work-energy principle!)
Note: Take ag and L as
Transcribed Image Text:The system is released from rest when yg = 0 at t = 0 and, after 3 s, it takes the configuration shown. Block B has a constant downward acceleration of ag (given below). The total length of the rope is L (given below). The masses of the collar A and the block B are maA = 2 kg and mg = 4 kg. Neglect friction in the system. 4 m YA a) Determine ya and yg at the instant shown. (After 3 s!) b) Determine the displacement Aya of A from t = 0 to t = 3 s. (Note that aa is not constant!) (Hint: Use the constraint equation due to the rope!) c) Determine va and vg at the instant shown. d) Determine the relative velocity of A with respect to B. (Show the direction!) e) Draw the free-body diagrams of A and B and write the equations of motion, EF = mã, for A and B at the instant shown. (Do not solve the equations!) f) By solving the equations obtained in part (e), determine the acceleration of A, the tension in the rope, and the normal force on A due to the vertical rod at the instant shown. g) Determine the work done on A by the tension force during the displacement from t = 0 to t = 3 s. (Hint: Use the work-energy principle!) Note: Take ag and L as
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