please explain what equation you use to solve this problem 1. A 2.0 m long rod is hinged at one end and connected to a wall (at the hinged end). It is held at an angle of 30° from the horizontal axis by a cable attached to the rod and to the wall, as shown in Fig. 1. Suddenly, the cable snaps (so the cable is no longer applying any tension force to the rod). The moment of inertia for...
2. (50 points) A uniform rod of length L and mass m is hinged to a wall at one end and suspended from the wall by a cable that is attached to the other end of the rod at an angle of B to the rod (see figure below). Assume the cable has zero mass. There is a contact force at the pivot on the rod. The magnitude and direction of this force is unknown. In this problem you will...
A 3.0 m long horizontal pole (negligible weight), hinged at a wall, supports a 1500 N sign. The sign hangs 2.0 m from the hinge and, at the pole's other end, a cable pulls up and back at 53.1 degrees to the pole. (a) What is the Tension in the cable? (b) What is the horizontal part of the reaction force of the hinge on the pole?
A uniform rod with a mass of m = 1.85 kg and a length of l = 2.32 m is attached to a horizontal surface with a hinge. The rod can rotate around the hinge without friction. (See figure.) The rod is held at rest at an angle of ? = 65.8° with respect to the horizontal surface. 1) What is the angular acceleration of the rod, when it is released? 2) What is the angular speed of the rod,...
1. A rod of length 3a is hinged at one end and supported by a spring of stiffness k at the other end. A mass m is attached 1/3 of the length from the hinge and a dashpot having a hinge. Ignore the mass of the rod, spring and damper (a) Derive the equation of motion for the system (101 1. A rod of length 3a is hinged at one end and supported by a spring of stiffness k at...
A long, thin rod of mass M and length L is standing straight up on a table. Its lower end rotates on a frictionless pivot. A very slight push causes the rod to fall over. A. As it hits the table, what is the angular velocity of the tip of the rod? B. What is the speed of the tip of the rod?
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...
A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall. A mass of 75 kg is hung from the beam 3 meters away from the hinge (see (Figure 2)). What is the vertical component of...
A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall (see (Figure 1)). What is the tension force that keeps this beam in static equilibrium?
A thin solid rod of mass M and length L is connected to a wall by a hinge and hangs from the ceiling by a string which connects to the end of the rod at an angle of 30 degrees. The center of mass of the rod is located halfway from the hinge, and a block of mass m is placed on the rod 3/4 of the way from the hinge. the string used to suspend the rod can support...