A thin rod (length = 2.98 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod my be ignored, compared to the mass of an object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. What is the angular speed of the rod just before it strikes the floor? Consider using the principle of conservation of mechanical energy.
A thin rod (length = 2.98 m) is oriented vertically, with its bottom end attached to...
A thin rod (length 2.24 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b)...
A thin rod with a mass of 3.5kg and a length L=1.5 m is oriented horizontally. A motor is attached at point A, which I a distance d=0.4m from the middle of the rod. The motor rotates the rod with a horizontal rotation with point A as the axis of rotation. The angular velocity of the rod follows the function: w(t) =3t + 4cos(0.5t) -4 Calculate the maximum torque that the motor applies to the rod during the time interval...
A thin uniform rod (of mass 10.0kg and length of 1.20m) is
attached to a friction-free pivot. Initially, the rod is balanced
vertically above the pivot (position A in Figure
A2.18). If the rod falls from rest, calculate
the angular acceleration at position B.
the angular velocity at position C.
A thin uniform rod (of mass 10.0kg and length of 1.20 m) is attached to a friction-free pivot. Initially, the rod is balanced vertically above the pivot (position A in...
A thin uniform rod of length 1.36m1.36m and total mass 18.5kg18.5kg is attached to the floor by a hinge. You hold the rod up such that it makes an angle of 0.8378rad0.8378rad as measured up from horizontal. What is the magnitude of the torque that the gravitational force generates on the rod about an axis passing through the hinge?
A uniform thin rod of length 0.500 m and mass 4.00 kg is attached to a pivot at one end. The other end of the rod is attached to a uniform sphere with a mass of 2.00 kg and a radius of 0.100 m. The rod and sphere initially hang vertically. A bullet with a mass of 5.00 g is fired horizontally at a speed of 200 m/s into the center of the sphere. The bullet embeds itself in 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...
A uniform rod has mass m and length L. One end of the rod is attached to a fixed point O by a hinge at the top of a wall and an additional force F is applied to the other end of the rod in the horizontal direction shown. Given that the rod is in mechanical equilibrium, what is the magnitude of the applied force F, expressed as a numerical multiple of mg, where g is the magnitude of the...
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...
A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The spring has a force constant of 1.32 kN/m. How much is the spring compressed when a object of mass m = 3.00 kg is placed on top of the spring and the system is at rest? The bottom end of a vertical spring is attached to a horizontal surface, and the top end is attached to a horizontal platform, which supports a block...
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?