2. The diagrem shows a thin rigid imifora r AB of mass l kg and length...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
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...
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...
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 figure shows a thin rod, of length L = 2.10 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 9.20 kg is attached to the other end. The rod is pulled aside to angle θ0 = 22.0° and released with initial velocity = 0. As the ball descends to its lowest point, (a) how much work does the gravitational force do on it and (b)...
The figure shows a thin rod, of length L = 1.6 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 9.1 kg is attached to the other end. The rod is pulled aside to angle θ0 = 6.4° and released with initial velocity v Overscript right-arrow EndScripts Subscript 0 = 0. As the ball descends to its lowest point, (a) how much work does the gravitational...
A uniform thin rod of length 50 cm and mass 4.0 kg can rotate in a horizontal plane about a vertical axis through from the right side. The rod into one end of the rod. As viewed from above, the bullet's path makes an angle of θ 60° with the rod (as shown in the figure below)If the bullet lodges in the rod and the angular velocity of the rod is 10 rad/s immediately after the collision, what is the...
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...
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=?...
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...