A block of mass m is placed on an inclined surface that makes an angle 0 above the horizontal. A constant horizontal force F is applied on the block, causing the block to accelerate up the incline. The coefficient of kinetic friction between the block and the plane is µ. Present all answers in terms of m, 0, H, F and g. a. On the diagram below, show all the applied forces on the block when it moves up the plane. b. Determine the normal force applied on the block by the surface. c. Determine the block's acceleration as it moves up the incline. d. If the block slides up at a constant speed, what is the value of force F? e. If the block slides down at a constant speed, what is the value of force F? f. An incline plane making an angle of 25 degrees with the horizontal has a pulley

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Chapter1: Units, Trigonometry. And Vectors
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a, b, c, d, e, f

F.
A block of mass m is placed on an inclined surface that makes an angle 0 above the horizontal. A
constant horizontal force F is applied on the block, causing the block to accelerate up the incline. The
coefficient of kinetic friction between the block and the plane is u. Present all answers in terms of m, 0,
H, F and g.
a. On the diagram below, show all the applied forces on the block when it moves
up the plane.
b. Determine the normal force applied on the block by the surface.
c. Determine the block's acceleration as it moves up the incline.
d. If the block slides up at a constant speed, what is the value of force F?
e. If the block slides down at a constant speed, what is the value of force F?
f. An incline plane making an angle of 25 degrees with the horizontal has a pulley
at its top. A 30-kg block on the plane is connected to a freely hanging 20-kg
block by means of a cord passing over a pulley. Compute the distance the 20-kg
block will fall in 2 seconds starting from rest. (A) If there is no friction (B) if the
mk = .2
M,
Transcribed Image Text:F. A block of mass m is placed on an inclined surface that makes an angle 0 above the horizontal. A constant horizontal force F is applied on the block, causing the block to accelerate up the incline. The coefficient of kinetic friction between the block and the plane is u. Present all answers in terms of m, 0, H, F and g. a. On the diagram below, show all the applied forces on the block when it moves up the plane. b. Determine the normal force applied on the block by the surface. c. Determine the block's acceleration as it moves up the incline. d. If the block slides up at a constant speed, what is the value of force F? e. If the block slides down at a constant speed, what is the value of force F? f. An incline plane making an angle of 25 degrees with the horizontal has a pulley at its top. A 30-kg block on the plane is connected to a freely hanging 20-kg block by means of a cord passing over a pulley. Compute the distance the 20-kg block will fall in 2 seconds starting from rest. (A) If there is no friction (B) if the mk = .2 M,
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