In the figure, a 7.84 g bullet is fired into a 0.418 kg block attached to the end of a 0.972 m nonuniform rod of mass 0.453 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0636 kg-m?. Treat the block as a particle. (a) What then is the rotational inertia of the block-rod-bullet system about point A? (b) If the angular speed of the system about A just after impact is 3.20 rad/s, what is the bullet's speed just before impact? Rod Block Bullet (a) Number Units kg-m^2 (b) Number Units m/s

In the figure, a 7.84 g bullet is fired into a 0.418 kg block attached to the end of a 0.972 m nonuniform rod of mass 0.453 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0636 kg-m?. Treat the block as a particle. (a) What then is the rotational inertia of the block-rod-bullet system about point A? (b) If the angular speed of the system about A just after impact is 3.20 rad/s, what is the bullet's speed just before impact? Rod Block Bullet (a) Number Units kg-m^2 (b) Number Units m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A steel disc with a mass of 1.505 kg and a diameter of 8.00 cm is rotating with angular speed 4.75 rad/s. A second, aluminum disc of the same diameter but with mass 527 g and rotating with angular speed -0.07 rad/s is dropped on to the steel disc and both come to a common angular speed. What is this final angular speed?
A thin rod has a length of 0.900 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.607 rad/s and a moment of inertia of 1.06 x 10-3 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod? Number i Units
Please solve
A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m. The rotational inertia of the merry-go-round about its axis of rotation is 150 kgm2. The child catches a ball of mass 1.0 kg travelling at 16 m/s at an angle Ø=37º thrown by a friend. If the merry-go-round starts at rest, what is the angular speed of the merry-go-round just after the ball is caught.
A solid disk rotates in the horizontal plane at an angular velocity of 4.20 × 10-2 rad/s with respect to an axisperpendicular to the disk at its center. The moment of inertia of the disk is 0.14 kg.m2. From above, sand is droppedstraight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis.The sand in the ring has a mass of 0.50 kg. After all the sand is in place, what is the angular velocity of the disk?
Two 4.80 kg balls are attached to the ends of a thin rod of length 40.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 690 g wad of wet putty drops onto one of the balls, hitting it with a speed of 4.21 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putry wad Rotation axis (a) Number Units (b) Number Units (c) Number Units
A turntable s pins on a frictionless bearing. Its moment of inertia is 3.00 x 10-2 kg m2. It initially rotates at 25.0 rev/min about an axis through its center. Then, a 0.6-kg ball of putty is dropped vertically onto the turntable. It lands and sticks at a point 0.10 m from the center. By what factor does this collision change the angular momentum of the system? That is, Lafter = [factor] x Lpefore- (Hint: Since it moves vertically the putty has initial angular momentum of zero.) O a. 1.22 b.0.820 c. 1.00 (no change) d. 1.20
The figure shows a small particle of mass 0.278 kg that is moving with a speed of 7.29 m/s when it collides and sticks the the edge of a uniform solid cylinder. The cylinder is free to rotate about an axis through its center. The cylinder has a mass of 2.677 kg, and a radius of 0.28 m, and is initially at rest. What is the angular velocity of the system after the collision? Express your answer in radians/s to 3 significant figures. Before After
A student sits on a rotating stool holding two 2.7-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2and is assumed to be constant. The student then pulls in the objects horizontally to 0.38 m from the rotation axis. (a) Find the new angular speed of the student. rad/s(b) Find the kinetic energy of the student before and after the objects are pulled in. before J after J
A woman with mass 50 kg is standing on the rim of a large horizontal disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.1 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)
A uniform thin rod of length 0.70 m and mass 5.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is a rest when a 3.0-g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As viewed from above, the direction of the bullet velocity makes an angle of 60° with the rod (see the figure). If the bullet lodges in the rod and the angular velocity of the rod is 11.0 rad/s immediately after the collision, what is the magnitude of the bullet's velocity just before impact?
A horizontal solid circular plate of mass 60 kg rotates about a vertical axis passing through its center at period of T = 6 s. A block of mass 60 kg is placed on the edge of the plate and rotating with the plate. Now, let’s move the block from the edge of the plate to the center of the plate. What is the velocity of rotation now? (Hint: You may consider angular momentum conservation.)