A 56.5-kg box is pulled by a rope making an angle of  ? = 21.5°  with the horizontal. The tension in the rope is  27.5 N.  (Assume the surface the box slides across is frictionless.) If the box starts from rest, determine the time required to move the box a horizontal distance of  2.31 m.

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Chapter1: Units, Trigonometry. And Vectors
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A 56.5-kg box is pulled by a rope making an angle of 

? = 21.5°

 with the horizontal. The tension in the rope is 

27.5 N.

 (Assume the surface the box slides across is frictionless.)

If the box starts from rest, determine the time required to move the box a horizontal distance of 

2.31 m.


 s

Question 4.3b:
The figure shows two blocks connected by a lightweight string across a frictionless pulley. The hanging block has mass  m1 = 5.65 kg and the second block has mass  m2 = 3.90 kg. The ramp is frictionless and inclined at an angle of  ? = 44.0° from the horizontal. When released from rest, block 1 will descend and block 2 will move up the ramp. (Assume the ramp is frictionless.)

Two blocks are connected to each other by a string that passes over a pulley, which is attached to the top corner of a wedge. The block of mass m1 hangs freely below the pulley. The block of mass m2 rests on the wedge's inclined surface that makes an angle ? with the horizontal.

Determine the magnitude of each block's acceleration and the tension in the string.

a =  m/s2   ? 
T =  N?
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