(b) change in gravitational potential energy,
∆U = (0 - M*g*{L/2}*sin¥) = - 1.2*9.81*(2/2)*sin30 = - 5.886 J
hun odeli yeniform rod of mass 12 kg and length L - 2.0 m, is free...
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...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position, (a) What is its angular speed when the rod reaches its lowest position? (b) What arc the linear speed of the center of mass and that of the lowest point on the rod when it is in the vertical position?
4(12 points) A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in Figure. The rod is released from rest in the horizontal position. (a)What are the initial angular acceleration of the rod and the initial translational acceleration of its right end (as shown in Fig.a)? (b)What is its angular speed when the rod reaches its lowest position (as...
The thin uniform rod in the figure has length 7.0 m and can pivot about a horizontal, frictionless pin through one end. It is released from rest at angle θ = 40° above the horizontal. Use the principle of conservation of energy to determine the angular speed of the rod as it passes through the horizontal position. Assume free-fall acceleration to be equal to 9.83 m/s2.
1. 0.91875 A uniform rod of length 8 m and mass 12.4 kg is free to rotate about a frictionless pivot at one end in a vertical plane, as in the figure. The rod is released from rest in the horizontal position. 2. 0.668182 O 3. 0.6125 O 4.0.3675 5. 7.35 O 6.0.319565 12.4 kg O 7. 1.8375 8. 0.408333 O 9. 1.225 O 10. 2.45 - 4 m -8 m What is the magnitude of the initial angular acceleration...
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
19. There is a uniform rod of mass 2.0 kg of length 2.0 m. It has a mass of 2.6 kg at one end. It is attached to the ceiling .40 m from the end with the mass. The string comes in at a 53 degree angle to the rod. a. Calculate the total torque on the rod. b. Determine its direction of rotation c. Explain, but don't calculate, what happens to the angular acceleration as it rotates toward a...
A long, uniform rod of mass m and length L is connected to a frictionless pivot. It's held in place horizontally and allowed to swing down under the influence of gravity. 3. Sketch the: net torque on the rod as a function of time, and as a function of angular position (for the interval of horizontal to vertical ). (the fatび ) Derive an expression for the angular velocity at the bottom of the rod's swing. a. b.
[7.] A uniform rod with mass M, length L, and moment of inertial with respect to the center of mass Icm = MLis hinged at one end (point P) so that it can rotate, without friction, around a horizontal axis. The rod is initially held at rest forming an angle with the vertical (see figure) and then released. a) Find the moment of inertia Ip of the rod with respect to point P. b) Find the magnitude of the angular...
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...