Physics1A_midterm1

# Physics1A_midterm1 - 1(40 pts A crate of mass M which...

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1) (40 pts) A crate of mass M, which contains an expensive piece of scientific equipment, is being delivered to UCLA. The delivery truck has a freight bed of length L (see the figure), with a coefficient of static friction μ s and a coefficient of kinetic friction μ k . Rather than move the heavy crate himself, the driver tilts the truck bed by an angle θ (see figure) and then drives the truck forward with increasing acceleration a , until the crate begins to slide. For this problem, use the x, y coordinate system shown in the figure. These coordinates are fixed with respect to the truck’s bed, not to the ground. (a) Draw a free-body force diagram for the crate in the truck’s frame of reference. (b) Write down Newton’s second law for the motion of the crate in the x and y directions, just before it begins to slip. (c) Determine the minimum acceleration a min for which the crate will begin to slip. Express your answer in terms of the constants shown in the figure. When the truck reaches a min

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