A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m1 = 2.00 kg, m2 = 6.40 kg, and θ = 49.5°. If the incline under m2 is rough, what is the minimum value of the coefficient of static friction μs for which the system will not move?
A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m1 = 2.00 kg, m2 = 6.40 kg, and θ = 49.5°. If the incline under m2 is rough, what is the minimum value of the coefficient of static friction μs for which the system will not move?
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A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take
m1 = 2.00 kg,
m2 = 6.40 kg,
and
θ = 49.5°.
If the incline under m2 is rough, what is the minimum value of the coefficient of static friction
μs
for which the system will not move?
Transcribed Image Text:A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is
massless. Take m, = 2.00 kg, m, = 6.40 kg, and e = 49.5°.
m2
(a) What are the magnitude of acceleration (in m/s²) of the block and sphere?
3.34
v m/s?
(b) What is the tension (in N) in the cord? (Enter the magnitude.)
26.3
N
(c) What is the speed (in m/s) of each object 1.75 s after being released from rest?
5.85
m/s
(d) What If? If the incline under m, is rough, what is the minimum value of the coefficient of static friction u, for which
the system will not move?
Hs =[1.17
This is the tangent of the angle. Write Newton's second law for both masses, including the static friction force. Note
that in the absence of friction, mass m, will slide down the incline. Recall that for impending motion, f = µ̟n.
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