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categoryالفيزياء
schoolبكالوريوس
event_available2026-07-15
السؤال
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A solid, frictionless cylindrical pulley has a radius R = 0.500 m. A block is attached
to a cord that is wrapped around the outside of the pulley. The block is falling with
a downward acceleration of 5.80 m/s², and the tension in the cord is 0.700 N. The
free body diagrams for the pulley and the block are shown below. Note that the
magnitudes of the two tensions T1 and T2 are equal. (Just call the tension T.) Also,
"n" in the free body diagram of the pulley represents the normal force provided by
the axle of the pulley, equal in magnitude to the weight of the pulley. Note that
the normal force and the weight force do not produce torques on the pulley. (Why
is this?)
my NLCS
Man vul icatlicI
n
T₂
M
M
m
R
R
mg
Mg
M
(a) Determine the angular acceleration of the pulley.
rad/s²
(b) Determine the moment of inertia of the pulley. HINT: You will need to use the expressions for torque.
kg m²
(c) Which of the following expressions is true for this problem? HINT: Make sure your signs are consistent; is
the acceleration the same direction as the tension or the weight force on the block? (There is a penalty for each
submission beyond the first.)
OT = mg
T = ma
T-mg = ma
mg - T = ma
(d) Determine the mass of the block.
kg
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