A 10g bullet is fired horizontally at 1000m/s towards the
vertical uniform thin rod (mass 1kg and
lengths 1m) free to rotate about an axis of rotation at its upper
end. The bullet strikes the rod
(and lodges in it) at distance d=20cm below the rod’s center of
mass. What is the angular
velocity of the rod-bullet system immediately after the collision?
Will the rod make a complete
revolution? If yes, what will be its angular velocity at the
highest point? If not, what would be its
maximum angular position (take a vertical position as zero)?
A 10g bullet is fired horizontally at 1000m/s towards the vertical uniform thin rod (mass 1kg...
Chapter 11, Problem 053 GO A uniform thin rod of length 0.61 m and mass 3.3 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.4 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 9 -60° with the rod. If the bullet lodges in the rod and the angular velocity of the...
A uniform thin rod of length 0.65 m and mass 3.4 kg can rotate
in a horizontal plane about a vertical axis through its center. The
rod is at rest when a 3.8 g bullet traveling in the rotation plane
is fired into one end of the rod. As viewed from above, the
bullet's path makes angle θ = 60° with the rod. If the
bullet lodges in the rod and the angular velocity of the rod is
11.0 rad/s...
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...
A thin rod of mass M and length L has a fixed rotation axis a distance L/6 from one end. (a) Using the parallel-axis theorem, find the moment of inertia of the rod about its rotation axis. (b) Suppose the rod is held horizontally at rest and then released. Draw a free-body diagram of the rod at the moment of its release, and find its angular acceleration at this moment. (Remember that gravity acts at the rod’s center.) (c) Find...
Q21 (15 points): A uniform rod of mass m 1.5 kg and length d- 2.0 m is supported by a pivot point P at its top and is free to rotate iın the vertical plane. A block of mass m2 0.8 kg is attached to the other end of the rod. The rod-block system is initially at rest, and a 1g bullet is fired horizontally into the rod through a point x 08 d below the pivot P Assume that...
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...
A long thin rod is held horizontally. When released, it pivots around a fixed, frictionless axis through one end. Consider its angular speed when it is vertical? a) The final speed depends on the rod’s mass only. b) The final speed depends on the rod’s length only. c) The final speed depends on both the rod’s mass and length. d) The final speed depends on neither the rod’s mass nor length.
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
A 12.0g bullet is fired at 452.1m/s into a solid disk of mass 15.1kg and a radius 0.310m. The disk is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass. The line of motion of the bullet is perpendicular to the axis and at a distance 6.20cm from the center. Find the angular velocity of the system after the bullet strikes and adheres to the surface of the disk.
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...