d of mass m, = 163 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r,= 10.0 c and m2 = 187 g are attached. Your TA asks you to determine the following. he position r3 on the rod where you would suspend a mass m, = 200 g in order to balance the rod and keep it horizontal if released from a the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the directio ositive x-axis (counterclockwise is positive and clockwise is negative).

Elements Of Electromagnetics
7th Edition
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ChapterMA: Math Assessment
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As a torque activity, your Physics TA sets up the arrangement shown below.
m1
m2
A uniform rod of mass m,
251 g and m2
163 g and length L
100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r,
10.0 cm and r,
90.0 cm mark, passed over pulleys, and masses of
187 g are attached. Your TA asks you to determine the following.
(a) The position r, on the rod where you would suspend a mass m, = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction)
does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 0-, measured with respect to
the positive x-axis (counterclockwise is positive and clockwise is negative).
r3
m
%|
F.
N
(b) Let's now remove the mass m, and determine the new mass m, you would need to suspend from the rod at the positionra
= 20.0 cm in order to balance the rod and keep it horizontal if released from a horizontal position. In
4
addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Express the direction of the force the pin exerts on the rod as the angle 0=, measured with respect to the positive x-axis
(counterclockwise is positive and clockwise is negative).
mA
kg
Fp
N
(c) Let's now remove the mass m
and determine the mass m, you would suspend from the rod in order to have a situation such that the pin does not exert a force on the rod and the location r- from which you would suspend
4
this mass in order to balance the rod and keep it horizontal if released from a horizontal position.
m5
kg
r5
Transcribed Image Text:As a torque activity, your Physics TA sets up the arrangement shown below. m1 m2 A uniform rod of mass m, 251 g and m2 163 g and length L 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r, 10.0 cm and r, 90.0 cm mark, passed over pulleys, and masses of 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend a mass m, = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 0-, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 m %| F. N (b) Let's now remove the mass m, and determine the new mass m, you would need to suspend from the rod at the positionra = 20.0 cm in order to balance the rod and keep it horizontal if released from a horizontal position. In 4 addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Express the direction of the force the pin exerts on the rod as the angle 0=, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). mA kg Fp N (c) Let's now remove the mass m and determine the mass m, you would suspend from the rod in order to have a situation such that the pin does not exert a force on the rod and the location r- from which you would suspend 4 this mass in order to balance the rod and keep it horizontal if released from a horizontal position. m5 kg r5
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