A loaded penguin sled with weight W rests on a plane inclined at angle to the horizontal (see figure). Between the sled and the plane, the coefficient of static friction is μs, and the coefficient of kinetic friction is μk. (Use any variable or symbol stated above as necessary.) e (a) What is the least magnitude of the force, F parallel to the plane, that will prevent the sled from slipping down the plane? mg sin (0) -μmg cos(0) F = mg × (b) What is the minimum magnitude F that will start the sled moving up the plane? F= mg sin (0) + cos(0) × (c) What value of F is required to move the sled up the plane at constant velocity? F= mg sin (0) +μ cos((0)) S

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A loaded penguin sled with weight W rests on a plane inclined at angle to the horizontal (see figure). Between the sled and the
plane, the coefficient of static friction is μs, and the coefficient of kinetic friction is μk. (Use any variable or symbol stated above as
necessary.)
e
(a) What is the least magnitude of the force, F parallel to the plane, that will prevent the sled from slipping down the
plane?
mg sin (0) -μmg cos(0)
F = mg
×
(b) What is the minimum magnitude F that will start the sled moving up the plane?
F= mg sin (0) + cos(0)
×
(c) What value of F is required to move the sled up the plane at constant velocity?
F= mg sin (0) +μ cos((0))
S
Transcribed Image Text:A loaded penguin sled with weight W rests on a plane inclined at angle to the horizontal (see figure). Between the sled and the plane, the coefficient of static friction is μs, and the coefficient of kinetic friction is μk. (Use any variable or symbol stated above as necessary.) e (a) What is the least magnitude of the force, F parallel to the plane, that will prevent the sled from slipping down the plane? mg sin (0) -μmg cos(0) F = mg × (b) What is the minimum magnitude F that will start the sled moving up the plane? F= mg sin (0) + cos(0) × (c) What value of F is required to move the sled up the plane at constant velocity? F= mg sin (0) +μ cos((0)) S
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