A thin rod of mass m and length l rests on a frictionless table and is struck at a point l/4 from its center of mass by a clay ball of mass m moving at speed v.
A thin rod of mass m and length l rests on a frictionless table and is struck at a point l/4 from its center of mass by a clay ball of mass m moving at speed v. The ball sticks to the rod. If the rod is free to pivot about a frictionless pin at its center, find the angular velocity of the rod after the collision. Also find the velocity of the point at the top of the rod just after the collision.
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A thin rod of mass m and length l rests on a frictionless table and is struck at a point l/4 from its center of mass by a clay ball of mass m moving at speed v.
Homework 51. (III) A thin rod of mass M and length l rests on a friction-...
Homework 51. (III) A thin rod of mass M and length l rests on a friction- less table and is struck at a point l/4 from its CM by a clay ball of mass m moving at speed v (Fig. 11-39). The ball sticks to the rod. Determine the translational and rotational motion of the rod after the collision. FIGURE 11-39 Problems 51 and 84. Homework 34. (1) Calculate the angular momentum of a particle of mass m moving with...
how do I prove Lf = L/2*mv? A thin rod of mass M and length L...
how do I prove Lf = L/2*mv?
A thin rod of mass M and length L is struck at one end by a ball of clay of mass in, moving with speed v as shown in the figure. The ball sticks to the rod. Determine the angular momentum of the clay-rod system about A (the midpoint of the rod) after the collision.
A uniform rod of mass m and length L = 2 meters is suspended from one...
A uniform rod of mass m and length L = 2 meters is suspended from one end by a frictionless pivot so that it can swing freely in the plane of the paper, as shown on the right. When the rod is at rest it is struck by a clay ball of equal mass m with initial velocity v_0 = 10 m/s at an angle of 60 degree with the vertical rod. The clay ball strikes the rod at the...
A uniform rod with a mass m and length L has one end attached to a...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
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...
1. A thin, uniform bar of length L and mass M is supported by a frictionless...
1. A thin, uniform bar of length L and mass M is supported by a frictionless horizontal surface. A ball of mass m travels to the right with speed v and strikes the bar. (top view) a. Assume the ball strikes the bar a distance d from the center of the bar and sticks to the bar. Find the velocity of the center of mass of the bar-ball system and them angular speed of the system. b. Assume the ball...
Challenge Problem: A thin rod of mass M-209 kg and length L-0.782 m is suspended from...
Challenge Problem: A thin rod of mass M-209 kg and length L-0.782 m is suspended from the ceiling by a frictionless pivot point. A ball of putty with mass m-0.754 kg is thrown at the rod at speed v-2.13 m/s and strikes the rod a distance half way down the rod from the pivot point in a perfectly inelastic collision. The combined the rod+putty then recoils upward upward. By what angle will the system deflect from the vertical after the...
long thin rod length h A particle, with mass m, is moving through space with constant...
long thin rod length h A particle, with mass m, is moving through space with constant velocity v, as shown in the diagram. COM It eventually collides with and sticks to the end of a long thin uniform rod, which has mass M and length /h and is initially at rest. The mass of the particle (m) is negligible compared with the mass of the rod. (a) Show the angular momentum of the particle about the COM of the rod...
A uniform rod of mass M and length L is released from its horizontal position. The...
A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top.
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90...
Homework 51. (III) A thin rod of mass M and length l rests on a friction- less table and is struck at a point l/4 from its CM by a clay ball of mass m moving at speed v (Fig. 11-39). The ball sticks to the rod. Determine the translational and rotational motion of the rod after the collision. FIGURE 11-39 Problems 51 and 84. Homework 34. (1) Calculate the angular momentum of a particle of mass m moving with...
how do I prove Lf = L/2*mv?
A thin rod of mass M and length L is struck at one end by a ball of clay of mass in, moving with speed v as shown in the figure. The ball sticks to the rod. Determine the angular momentum of the clay-rod system about A (the midpoint of the rod) after the collision.
A uniform rod of mass m and length L = 2 meters is suspended from one end by a frictionless pivot so that it can swing freely in the plane of the paper, as shown on the right. When the rod is at rest it is struck by a clay ball of equal mass m with initial velocity v_0 = 10 m/s at an angle of 60 degree with the vertical rod. The clay ball strikes the rod at the...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
1. A thin, uniform bar of length L and mass M is supported by a frictionless horizontal surface. A ball of mass m travels to the right with speed v and strikes the bar. (top view) a. Assume the ball strikes the bar a distance d from the center of the bar and sticks to the bar. Find the velocity of the center of mass of the bar-ball system and them angular speed of the system. b. Assume the ball...
Challenge Problem: A thin rod of mass M-209 kg and length L-0.782 m is suspended from the ceiling by a frictionless pivot point. A ball of putty with mass m-0.754 kg is thrown at the rod at speed v-2.13 m/s and strikes the rod a distance half way down the rod from the pivot point in a perfectly inelastic collision. The combined the rod+putty then recoils upward upward. By what angle will the system deflect from the vertical after the...
long thin rod length h A particle, with mass m, is moving through space with constant velocity v, as shown in the diagram. COM It eventually collides with and sticks to the end of a long thin uniform rod, which has mass M and length /h and is initially at rest. The mass of the particle (m) is negligible compared with the mass of the rod. (a) Show the angular momentum of the particle about the COM of the rod...
A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...
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