lo h S 8、 A ball of mass m is attached to a string of length d and moves with constant speed v on a horizontal frictionless surface. Answer each part of the question using a coordinate system in which the positive z direction is vertically upwards and the z-axis passes through the center of the circle, positive r points radially outwards from the z-axis, and positive 0 points tangentially in the counterclockwise direction when viewed from above. 1. Calculate the angular momentum of the particle about the point Q at the center of the circle. 2. Calculate the angular momentum about the point S located on the z-axis a distance h below the center of the circle. 3. Calculate the net torque about the points and S and relate it to the rate of change of the angular momentum. Does your answer make sense?

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Chapter1: Units, Trigonometry. And Vectors
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lo
h
S.
m
g
A ball of mass m is attached to a string of length d and moves with constant speed v on
a horizontal frictionless surface. Answer each part of the question using a coordinate system in
which the positive z direction is vertically upwards and the z-axis passes through the center of the
circle, positive r points radially outwards from the z-axis, and positive 0 points tangentially in the
counterclockwise direction when viewed from above.
1. Calculate the angular momentum of the particle about the point Q at the center of the circle.
2. Calculate the angular momentum about the point S located on the z-axis a distance h below
the center of the circle.
3. Calculate the net torque about the points Q and S and relate it to the rate of change of the
angular momentum. Does your answer make sense?
Transcribed Image Text:lo h S. m g A ball of mass m is attached to a string of length d and moves with constant speed v on a horizontal frictionless surface. Answer each part of the question using a coordinate system in which the positive z direction is vertically upwards and the z-axis passes through the center of the circle, positive r points radially outwards from the z-axis, and positive 0 points tangentially in the counterclockwise direction when viewed from above. 1. Calculate the angular momentum of the particle about the point Q at the center of the circle. 2. Calculate the angular momentum about the point S located on the z-axis a distance h below the center of the circle. 3. Calculate the net torque about the points Q and S and relate it to the rate of change of the angular momentum. Does your answer make sense?
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