- #1
blackheart
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1. A rigid, massless rod has three particles with equal masses attached to it as shown below. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t = 0. Assume that m and d are known. (Use the following as necessary: m, d, and g.)Sorry this is my diagram (I couldn't paste it for some reason)...
distance from P to m3 is (2d/3)
m1-------------m2-------P---------m3 THIS IS THE ROD WITH MASSES
distance between the masses is d
m1, m2, m3 are the same mass(d) Find the linear acceleration of the particle labeled 3 at t = 0.
(torque of mass 3) = (I of mass 3)(alpha)
alpha = 2g/7d
a=r(alpha)
a= 4g/3 but this is incorrect
(f) Find the maximum angular speed attained by the rod. ωf =
(Ii)(wi) = (If)(wf)
It starts from rest so w initial is 0, so I could not solve using this way...
(h) Find the maximum speed attained by the particle labeled 2. vf =
Relevant equations:
L(initial) = L final
L=Iw=mvrsin(theta)
torque = r x F
distance from P to m3 is (2d/3)
m1-------------m2-------P---------m3 THIS IS THE ROD WITH MASSES
distance between the masses is d
m1, m2, m3 are the same mass(d) Find the linear acceleration of the particle labeled 3 at t = 0.
(torque of mass 3) = (I of mass 3)(alpha)
alpha = 2g/7d
a=r(alpha)
a= 4g/3 but this is incorrect
(f) Find the maximum angular speed attained by the rod. ωf =
(Ii)(wi) = (If)(wf)
It starts from rest so w initial is 0, so I could not solve using this way...
(h) Find the maximum speed attained by the particle labeled 2. vf =
Relevant equations:
L(initial) = L final
L=Iw=mvrsin(theta)
torque = r x F