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As a torque activity, your Physics TA sets up the arrangement shown below. A uniform rod of mass m, = 138 g and length L = 100.0 cm attached to the wall with a pin as shown. Cords are attached to the rod at the r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 266 g and m₂ = 157 g are attached. Your TA asks you to determine the following. (a) The position r on the rod where you would suspend a mass m₂ = 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 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). "3= m N OF (b) Let's now remove the mass m₂ and determine the new mass m4 you would need to suspend from the rod at the position r4 = 20.0 cm in order 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? Express the direction of the force the pin exerts on the rod as the angle 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4= = fp = 8F = kg N (c) Let's now remove the mass m, and determine the mass me 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 rs from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position. mg = "5= kg m

As a torque activity, your Physics TA sets up the arrangement shown below. A uniform rod of mass m, = 138 g and length L = 100.0 cm attached to the wall with a pin as shown. Cords are attached to the rod at the r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 266 g and m₂ = 157 g are attached. Your TA asks you to determine the following. (a) The position r on the rod where you would suspend a mass m₂ = 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 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). "3= m N OF (b) Let's now remove the mass m₂ and determine the new mass m4 you would need to suspend from the rod at the position r4 = 20.0 cm in order 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? Express the direction of the force the pin exerts on the rod as the angle 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4= = fp = 8F = kg N (c) Let's now remove the mass m, and determine the mass me 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 rs from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position. mg = "5= kg m

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 12PQ
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As a torque activity, your Physics TA sets up the arrangement shown below. 3 fp = 8 F = 7₁ → A uniform rod of mass m, = 138 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 r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 266 g and m₂ = 157 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 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 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 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4 Fp = 8 F = m N m₁ m₂ (b) Let's now remove the mass m3 and determine the new mass m4 you would need to suspend from the rod at the position r4 = 20.0 cm 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? Express the direction of the force the pin exerts on the rod as the angle , measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). kq N (c) Let's now remove the mass m4 and determine the mass me 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 r5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position. m5 r5 kg m
Transcribed Image Text:As a torque activity, your Physics TA sets up the arrangement shown below. 3 fp = 8 F = 7₁ → A uniform rod of mass m, = 138 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 r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 266 g and m₂ = 157 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 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 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 8, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4 Fp = 8 F = m N m₁ m₂ (b) Let's now remove the mass m3 and determine the new mass m4 you would need to suspend from the rod at the position r4 = 20.0 cm 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? Express the direction of the force the pin exerts on the rod as the angle , measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). kq N (c) Let's now remove the mass m4 and determine the mass me 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 r5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position. m5 r5 kg m
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