A thin, cylindrical rod e = 28.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combinationis free to pivot about the bottom end of the rod after being given a slight nudge.dMm(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy?(b) What is the angular speed of the rod and ball?rad/s(c) What is the linear speed of the center of mass of the ball?m/s(d) How does it compare with the speed had the ball fallen freely through the same distance of 31.0 cm?swingis --Select--- v Vall by%.

Given- L=28 cm=0.28 m m= 1.2 kg M= 2 kg d=6 cm=0.06 m So, R=d/2=0.06/2=0.03 m

A thin, cylindrical rod e= 28.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M= 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? (b) What is the angular speed of the rod and ball? rad/s (c) What is the linear speed of the center of mass of the ball? m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 31.0 cm? Vewing is --Select- v Veall by %.

A thin, cylindrical rod e= 28.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 6.00 cm and mass M= 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? (b) What is the angular speed of the rod and ball? rad/s (c) What is the linear speed of the center of mass of the ball? m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 31.0 cm? Vewing is --Select- v Veall by %.

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

Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 2.31 times the radius of A. What would be the ratio of the rotational inertias lA/Ig if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy? B (a) Number i Units (b) Number i Units
The figure shows three 0.0146 kg particles that have been glued to a rod of length L-5.58 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number (b) Number Axis Units Units 0 m m m |a+d+d+
Three objects are spinning as shown in the figure. Each object has a total mass of m and a radius of R. The object on the left is a hoop with its mass evenly distributed around the rim. The object in the middle is a solid sphere with its mass evenly distributed throughout. The object on the right consists of a massless rod 2R long with a point mass of 0.5m attached to each end. Which object has the greatest moment of inertia and which one the least? Mass m Mass = m Mass = 0.5m The rod + masses is the largest; the hoop is the smallest The sphere is the largest, the hoop is the smallest The hoop is the largest; the rod + masses is the smallest The hoop is the largest; the sphere is the smallest The rod + masses is the largest; the sphere is the smallest
Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 7.82 times the radius of A. What would be the ratio of the rotational inertias IA/IB if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy?
A bicycle wheel with a radius of 350 mm and a mass of (2.40x10^0) kg is spinning freely on a work stand at a rate of 2.0 rev/sec when a (1.0000x10^0) kg kitten jumps on it radially, holds on and starts spinning around. What is the new rotational velocity of the wheel in units of rev/s? Treat the wheel as a thin hoop. Give your answer with three significant figures.
The figure shows three 0.0105 kg particles that have been glued to a rod of length L=6.30 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis m (a) Number i Units (b) Number i Units
Two wheels have the same mass and radius of 4.9kg and 0.45 m, respectively. One has (a) the shape of a hoop and the other (b) the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 8.4 s. Find the net external torque that acts on each wheel.
The figure shows three 0.0103 kg particles that have been glued to a rod of length L=5.91 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? L Axis m -d--d- (a) Number i Units (b) Number i Units
A wheel consists of a rim (ring) with a mass of 1.3kg and a radius of 0.45m and four equally-spaced spokes (rods) that run from the center of the wheel to the edge of the rim. Each spoke has a mass of 0.15kg and a length equal to the radius of the wheel. What is the total rotational inertia of the wheel about its center?
A merry-go-round modeled as a disk of mass M = 7.50 x 10- kg and radius R = 2.10 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 82.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.05 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.470 m from the center. 5.88 rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. 2073.05 (c) Find the work done on the student as she walks to r = 0.470 m. -2073.05 Your response differs from the correct answer by more than 100%. J
The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.9 cm and a mass of 23 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 270 rad/s counterclockwise. Force F1 has a magnitude of 0.0984 N. What is magnitude F2?
Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 3.32 times the radius of A. What would be the ratio of the rotational inertias lA/lg if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy?