A uniform door initially at rest has a width W = 1.5m and mass M= 20 kg. The door is hinged on one side and can freely rotate about the hinges without friction. A policeman fires a bullet, m, = 15 g into the door at a speed v. = 500m/s. The bullet takes a horizontal path and strikes the door in a perpendicular direction at the exact center. The moment of inertia of the door about an axis passing...
2. A square loop (L-0.30 m) consists of 45 closely wrapped turns, each carrying a current of 0.40 A. The loop, hinged along the y-axis, is oriented as shown in a uniform magnetic field of 0.60 T directed in the positive x direction. (a) [6 pts.] What is the magnitude of the torque on the loop? (b) 12 pts] Draw magnetic moment and torque vectors in the figure. 60° (c) [2 pts.] As viewed from above, in what direction does...
A 0.00600 kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 20.8 kg door, embedding itself 11.0 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges.What is the angular momentum? At what angular speed (rad/s) does the door swing open immediately after the collision? Calculate the total energy of the bullet-door system and determine whether it is less than or equal...
A thin, uniform, rectangular sign hangs vertically above the door of a shop. The sign is hinged to a stationary horizontal rod along its top edge. The mass of the sign is 2.40 kg and its vertical dimension is 75.0 cm. The sign is swinging without friction, becoming a tempting target for children armed with snowballs. The maximum angular displacement of the sign is 25.0° on both sides of the vertical. At a moment when the sign is vertical and...
A door with mass M= 3.00 kg and width L=2.00m is hinged at one side so that it can rotate without friction about a vertical axis. A heavy bullet embeds in the 3L/4 of the door after it is fired as shown. The mass of the bullet is m=0.200kg and the initial speed of the bullet is speed 410 m/s . Part A Part complete What is the angular speed of the bullet and the door after the bullet embeds...
0.500 m 1.10 m Azis R 33ON " 20.0 N (a) Find the net torque (magnitude and direction) produced by the forces Fi and F2 about the axis. (b) If the moment of inertia of the door is 26.8 kg m2, what is the direction and magnitude of the angular acceleration?
1. Find angular speed of door after collision 2. What is the change in kinetic friction? A 1.5m wide door (mass 15kg) is hinged at one side so that it can rotate without friction about a vertical axis. It is unlatched. A police officer fires a bullet with a mass of 10g and a speed of 400m/s into the exact center of the door, in a direction perpendicular to the plane of the door. Find the angular speed of the...
a) What is the magnitude of the torque on the disk about the z axis due to F1? b) What is the magnitude of the torque on the disk about the z axis due to F2? c) What is the magnitude of the torque on the disk about the z axis due to F3? d) What is the x-component of the net torque about the z axis on the disk? e) What is the y-component of the net torque about...
1) What is the magnitude of the torque on the disk about the z axis due to F1? N-m 2) What is the magnitude of the torque on the disk about the z axis due to F2? N-m 3) What is the magnitude of the torque on the disk about the z axis due to F3? N-m 4) What is the x-component of the net torque about the z axis on the disk? N-m 5) What is the y-component of...
A motor spins a disk (Idisk = 25.5 kg*m2) with a torque of 39 N*m, and a 18 N frictional force acts on the disk at a radius of 1.4 m. Attached to the disk at a radius of 6.6 m is a 13 kg mass. What is the magnitude of the angular acceleration in rad/s2 of the system?