A ball having mass mis fastened at the end of a flagpole that is con- nected to the side of a tall build- ing at point Pas shown in Figure P11.15. The length of the flagpole is e, and it makes an angle 0 with the xaxis. The ball becomes loose and starts to fall with acceleration -gj. (a) Determine the angular momentum of the ball about point P as a function of time. (b) For what physical reason does the angular momentum change? (c) What is the rate of change of the angular momentum of the ball about point P? Figure P11.15

A ball having mass mis fastened at the end of a flagpole that is con- nected to the side of a tall build- ing at point Pas shown in Figure P11.15. The length of the flagpole is e, and it makes an angle 0 with the xaxis. The ball becomes loose and starts to fall with acceleration -gj. (a) Determine the angular momentum of the ball about point P as a function of time. (b) For what physical reason does the angular momentum change? (c) What is the rate of change of the angular momentum of the ball about point P? Figure P11.15

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 8CQ: A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can...

See similar textbooks

Similar questions

If a child walks toward the center of a merry-go-round, does the moment of inertia increase or decrease?
If a rigid body has a constant angular acceleration, what is the functional form of the angular velocity In terms of the time variable?
The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
Check Your Understanding A nuclear submarine propeller has a moment of inertia of 800.0kgm2 . If the submerged propeller has a rotation rate of 4.0 rev/s when the engine is cut, what is the rotation rate of the propeller after 5.0 s when water resistance has taken 50,000 J out of the system?
Check Your Understanding The fan blades on a jet engine have a moment of inertia 30.0kgm2 . In 10s, they rotate counterclockwise from rest up to a rotation rate of 20 rev/s. (a) What torque must be applied to the blades to achieve this angular acceleration? (b) What is the torque required to bring the fan blades rotating at 20 rev/s to a rest in 20s?
What is the torque abot the origin of the force if it is applied at the point whose position is:
In a popular amusement parkride, a rotating cylinder ofradius 3.00 m is set in rotationat an angular speed of5.00 rad/s, as in Figure P7.73.The floor then drops away,leaving the riders suspendedagainst the wall in a verticalposition. What minimum coefficientof friction between arider’s clothing and the wall isneeded to keep the rider fromslipping? Hint: Recall that themagnitude of the maximum force of static friction is equal tomsn, where n is the normal force—in this case, the force causingthe centripetal acceleration.
The angular position of a point on a rotating rigid-body as a function of time is given below. what is its instantaneuos angular acceleration at t=3.00 s?
A skater extends her arms horizontally, holding a 5-kg mass in each hand. She is rotating about a vertical axis with an angular velocity of one revolution per second. If she drops her hands to her sides, what will the final angular velocity (in rev/s) be if her moment of inertia remains approximately constant at 5 kg⋅m2, and the distance of the masses from the axis changes from 1 mto 0.1 m?
The uniform thin rod inFigure P8.47 has massM = 3.50 kg and lengthL = 1.00 m and is free torotate on a frictionlesspin. At the instant therod is released from restin the horizontal position,find the magnitudeof (a) the rod’s angularacceleration, (b) the tangentialacceleration ofthe rod’s center of mass, and (c) the tangential accelerationof the rod’s free end.
A uniform solid cylinder of massM and radius R rotates on a frictionlesshorizontal axle (Fig. P8.87). Twoobjects with equal masses m hangfrom light cords wrapped aroundthe cylinder. If the system is releasedfrom rest, find (a) the tension ineach cord and (b) the accelerationof each object after the objects havedescended a distance h.
. A cylinder of mass M, of radius R, and of lengthL such that, L = 6R is hinged at point A in verticalposition. It suddenly starts to rotate about thehinge at A with an initial angular speed of wo.Determine the support reactions at A in normaland tangential directions when the cylinder is inhorizontal position.