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AXis Two spheres of mass m are attached to a light rod of length 2L. The...
A rod of mass M and length 2L is free to rotate in a vertical plane...
A rod of mass M and length 2L is free to rotate in a vertical plane about an axis through O, as shown in the figure. The axis is normal to the plane of the paper. Three mosses M, M, and 2M are attached to the rod as shown. With the rod in a horizontal position, the system is released from rest. (a) Find the net torque on the rod about the axis of rotation immediately after the system is...
1. A wooden rod of length 40.0 cm and mass 1.00 kg is sitting on a...
1. A wooden rod of length 40.0 cm and mass 1.00 kg is sitting on a frictionless horizontal surface. The rod has a pin through its centre so that it can freely rotate about a vertical axis perpendicular to the rod and passing through the center of the rod. A projectile of mass 0.0100 kg is now shot at the rod. The projectile is moving horizontally with a speed of 2.00 x 102 m/s in the direction perpendicular to the...
(Figure 1) A thin rod of mass mr and length 2L is allowed to pivot freely about its center, as shown in the diagram.
Pivoted Rod with Unequal Masses (Figure 1) A thin rod of mass mr and length 2L is allowed to pivot freely about its center, as shown in the diagram. A small sphere of mass m1 is attached to the left end of the rod, and a small sphere of mass m2 is attached to the right end. The spheres are small enough that they can be considered point particles. The gravitational force acts downward, with the magnitude of the gravitational acceleration...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate a...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
1. A thin rod of mass M and length d hangs vertically from a frictionless pivot...
1. A thin rod of mass M and length d hangs vertically from a frictionless pivot attached to one end. A piece of clay of mass m moving horizontally at a speed v hits the rod a distance x from the pivot and sticks to it. Discussion Questions: (In the first 5-10 min a random group will be selected to explain.) • What “type” of collision is happening? What is and is not conserved? • Consider the analogous linear momentum...
4] (extra credit) Two spheres A and B of mass m -2.0 kg and ma -40...
4] (extra credit) Two spheres A and B of mass m -2.0 kg and ma -40 kg, are connected by a light rigid rod of length- 39.0 em. The two spheres are resting on a horizontal frictionless surface when an impulse is applied to A giving it the velocity, 2.i (m/s) Va a) Determine the velocity of the center of mass of the system. b) Determine the linear momentum of the system. e) Find the angular momentum relative to the...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
- LR LA A 8-1: The man shown is holding a rod of mass m and...
- LR LA A 8-1: The man shown is holding a rod of mass m and length LR initially in a horizontal position while rotating at a constant rate of as drawn. The man then gives the rod an additional constant known angular acceleration of a about the -be = -êg axis. For the analysis here assume that that the angular rate 12 remains constant. Determine: (a) the angular velocity and angular acceleration of the rod throughout the motion (b)...
A uniform rod of mass 2.75×10−2 kg and length 0.400 m rotates in a horizontal plane...
A uniform rod of mass 2.75×10−2 kg and length 0.400 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.190 kg , are mounted so that they can slide along the rod. They are initially held by catches at positions a distance 4.70×10−2 m on each side from the center of the rod, and the system is rotating at an angular velocity 35.0 rev/min ....
A rod of mass M and length 2L is free to rotate in a vertical plane about an axis through O, as shown in the figure. The axis is normal to the plane of the paper. Three mosses M, M, and 2M are attached to the rod as shown. With the rod in a horizontal position, the system is released from rest. (a) Find the net torque on the rod about the axis of rotation immediately after the system is...
1. A wooden rod of length 40.0 cm and mass 1.00 kg is sitting on a frictionless horizontal surface. The rod has a pin through its centre so that it can freely rotate about a vertical axis perpendicular to the rod and passing through the center of the rod. A projectile of mass 0.0100 kg is now shot at the rod. The projectile is moving horizontally with a speed of 2.00 x 102 m/s in the direction perpendicular to the...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
4] (extra credit) Two spheres A and B of mass m -2.0 kg and ma -40 kg, are connected by a light rigid rod of length- 39.0 em. The two spheres are resting on a horizontal frictionless surface when an impulse is applied to A giving it the velocity, 2.i (m/s) Va a) Determine the velocity of the center of mass of the system. b) Determine the linear momentum of the system. e) Find the angular momentum relative to the...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
- LR LA A 8-1: The man shown is holding a rod of mass m and length LR initially in a horizontal position while rotating at a constant rate of as drawn. The man then gives the rod an additional constant known angular acceleration of a about the -be = -êg axis. For the analysis here assume that that the angular rate 12 remains constant. Determine: (a) the angular velocity and angular acceleration of the rod throughout the motion (b)...
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