5. A truck, of mass M, that's carrying a load of mass m, is driving with constant speed v over a circular path. M V m

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5. A truck, of mass M, that's carrying a load of mass m, is driving with
constant speed v over a circular path.
M
m
Transcribed Image Text:5. A truck, of mass M, that's carrying a load of mass m, is driving with constant speed v over a circular path. M m
(a) The coefficient of static friction between the truck tires and the road
is μs,1. What is the minimum radius of the circular path for which
the truck can safely turn?
(b) What force is keeping the load on the truck? Using the orientation
of the provided zoomed-in birdseye-view of the truck/load, draw the
direction of this force. Hint: what kind of motion is the load under-
going?
(c) The coefficient of static friction between the load and the truck is
s,2. Suppose now that as the radius of the circular path shrinks,
the truck spins out prior to the load slipping. At least how much
larger must μs,2 be compared to us,1?
Transcribed Image Text:(a) The coefficient of static friction between the truck tires and the road is μs,1. What is the minimum radius of the circular path for which the truck can safely turn? (b) What force is keeping the load on the truck? Using the orientation of the provided zoomed-in birdseye-view of the truck/load, draw the direction of this force. Hint: what kind of motion is the load under- going? (c) The coefficient of static friction between the load and the truck is s,2. Suppose now that as the radius of the circular path shrinks, the truck spins out prior to the load slipping. At least how much larger must μs,2 be compared to us,1?
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