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(chatquestion)...8.01x Classical Mechanics: Problem Set 2
2. Accelerating Truck and Suspended Bucket
A truck is traveling in a straight line on level ground, and is accelerating uniformly
with an acceleration of magnitude a. A rope (that can be considered massless and
inextensible) is tied to the back of the truck. The other end of the rope is tied to a
bucket of mass M. The bucket tosses wildly when the truck starts to accelerate, but
later on it stays at a fixed position at a fixed distance behind the truck, with the rope
hanging straight at a fixed angle, as shown in the diagram.
т
(a) Find the angle 6 at which the rope will settle. Express your answers in terms of
the given variables M, g, and a as needed.
(b) What will the tension T of the rope be once it settles into this angle? Express
your answers in terms of the given variables M, g, and a as needed.
(c) The truck comes to a downhill section of road, at an angle a relative to the
horizontal, as shown in the figure. Suppose that the truck continues to accelerate
with an acceleration of magnitude a.
M...(Please help me to answer this question urgently please)
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