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A uniform rod of mass m, = 153 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 m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend 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, %3D 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 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to suspend the mass m, in order for the rod to remain stationary when released from a horizontal position. N %D -90 (b) Let's now remove the mass m, and determine the new mass ma you would need to suspend from the rod at the position ra = 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 0-, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). = 0.602 m4 kg F. 90 (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 5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position.

A uniform rod of mass m, = 153 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 m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend 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, %3D 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 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to suspend the mass m, in order for the rod to remain stationary when released from a horizontal position. N %D -90 (b) Let's now remove the mass m, and determine the new mass ma you would need to suspend from the rod at the position ra = 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 0-, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). = 0.602 m4 kg F. 90 (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 5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A uniform rod of mass m, = 153 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 m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend 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, %3D 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 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to suspend the mass m, in order for the rod to remain stationary when released from a horizontal position. N %D -90 (b) Let's now remove the mass m, and determine the new mass ma you would need to suspend from the rod at the position ra = 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 0-, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). = 0.602 m4 kg F. 90 (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 5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position.
Transcribed Image Text:A uniform rod of mass m, = 153 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 m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend 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, %3D 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 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to suspend the mass m, in order for the rod to remain stationary when released from a horizontal position. N %D -90 (b) Let's now remove the mass m, and determine the new mass ma you would need to suspend from the rod at the position ra = 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 0-, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). = 0.602 m4 kg F. 90 (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 5 from which you would suspend this mass in order to balance the rod and keep it horizontal if released from a horizontal position.
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