17. A very light (massless) rod of length Lhas a mass m at one end and...
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...
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...
A uniform rod of length 1.82 m is attached to a frictionless
pivot at one end. It is released from rest from an angle θ = 29.8 °
above the horizontal.
Find the magnitude of the initial angular acceleration of the
rod.
Find the magnitude of the initial linear acceleration of a point
at the center of the rod.
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...
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 uniformly dense solid rod with a length of 4 m and a mass of 5 kg is free to rotate around a frictionless axle located at one end of the rod. The rod is initially oriented horizontally (i.e., parallel to the ground). What is the magnitude of the angular acceleration (in rad/s2) of the rod resulting from the gravitational torque acting on 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.)...
The uniform thin rod in the figure below has mass M =
4.00 kg and length L = 2.21 m and is free to rotate on a
frictionless pin. At the instant the rod is released from rest in
the horizontal position, find the magnitude of the rod's angular
acceleration, the tangential acceleration of the rod's center of
mass, and the tangential acceleration of the rod's free end.
(a)
the rod's angular acceleration (in rad/s2)
rad/s2
(b)
the tangential 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...
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?