A stick of uniform density with mass M = 8.5 kg and length L = 0.8 m is pivoted about an axle which is perpendicular to its length and located 0.19 m from one end. Ignore any friction between the stick and the axle.
a) What is the moment of inertia of the stick about this axle?
The stick is held horizontal and then released.
b) What is its angular speed as it passes through the vertical
c) What is its angular acceleration as it passes through the vertical position?
d) What is the magnitude of the vertical component of the force exerted by the stick on the axle when the stick passes through the vertical?
2007-05-23 17:29:32 · 3 answers · asked by Jaclyn A 1 in Science & Mathematics ➔ Physics
The moment of inertia of a stick held at one end is (1/3)Mh^2
Take the moment inertial of the rod as two sticks, one with length 0.19m, the other with length (.8-.19)m=0.61m. The first one has mass M(.19/.8) the other M(.61/.8) calculate the two moments of inertia and add them together to get Itotal.
Find the center of mass of the stick relative to the pivot point =.4-.19=.21m. When this thing rotates through the vertical. Mg(.21m) of work is done to it, so
1/2(Itotal)(omega)^2=Mg(.21m) solve for omega, the angular speed.
C) The angular acceleration is zero, the lever arm is colinear with the force of gravity, and there is no torque.
D) The weight of the stick plus the centripetal force due to the motion = Mg +M(.21m)(omega)^2
2007-05-23 17:48:51 · answer #1 · answered by supastremph 6 · 0⤊ 0⤋
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2016-11-05 04:58:42 · answer #2 · answered by arrocha 4 · 0⤊ 0⤋
yes
look up your formulas!
2007-05-23 17:41:35 · answer #3 · answered by goodtobehappy 4 · 0⤊ 0⤋