A baseball of mass m = 0.13 kg is suspended vertically from a tree by a string of length L = 1.3 m and negligible mass. Take z as the upward vertical direction. A short-duration force F = Fyj + Fzk is applied to the baseball by a bat, momentarily creating a torque τ about the top of the string. Part (a) Enter an expression for the torque due to the given force about the top of the string, in terms of m, L, Fy, Fz, and the unit vectors i, j, k. Part (b) Calculate the magnitude of the torque, in newton meters, for the force F = (1.07 N)j - (4.6 N)k. Part (c) Find the magnitude of the resulting momentary angular acceleration, in radians per second squared, of the ball about the top of the string. Part (d) Does the z-component of the force affect the torque on the baseball? Choose the correct answer. Part (e) In order to obtain a torque of τ = (11.7 N˙m)j, what must the value of the y-component of the force, Fy, be, in newtons? Part (f) In order to obtain a torque of τ = (11.7 N˙m)j about the top of the string, what must the value of the x-component of the force, Fx, be, in newtons?
A baseball of mass m = 0.13 kg is suspended vertically from a tree by a string of length L = 1.3 m and negligible mass. Take z as the upward vertical direction. A short-duration force F = Fyj + Fzk is applied to the baseball by a bat, momentarily creating a torque τ about the top of the string. Part (a) Enter an expression for the torque due to the given force about the top of the string, in terms of m, L, Fy, Fz, and the unit vectors i, j, k. Part (b) Calculate the magnitude of the torque, in newton meters, for the force F = (1.07 N)j - (4.6 N)k. Part (c) Find the magnitude of the resulting momentary angular acceleration, in radians per second squared, of the ball about the top of the string. Part (d) Does the z-component of the force affect the torque on the baseball? Choose the correct answer. Part (e) In order to obtain a torque of τ = (11.7 N˙m)j, what must the value of the y-component of the force, Fy, be, in newtons? Part (f) In order to obtain a torque of τ = (11.7 N˙m)j about the top of the string, what must the value of the x-component of the force, Fx, be, in newtons?
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)...
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A baseball of mass m = 0.13 kg is suspended vertically from a tree by a string of length L = 1.3 m and negligible mass. Take z as the upward vertical direction. A short-duration force F = Fyj + Fzk is applied to the baseball by a bat, momentarily creating a torque τ about the top of the string.
Part (a) Enter an expression for the torque due to the given force about the top of the string, in terms of m, L, Fy, Fz, and the unit vectors i, j, k.
Part (b) Calculate the magnitude of the torque, in newton meters, for the force F = (1.07 N)j - (4.6 N)k.
Part (c) Find the magnitude of the resulting momentary
| Part (d) Does the z-component of the force affect the torque on the baseball? Choose the correct answer. Part (e) In order to obtain a torque of τ = (11.7 N˙m)j, what must the value of the y-component of the force, Fy, be, in newtons? Part (f) In order to obtain a torque of τ = (11.7 N˙m)j about the top of the string, what must the value of the x-component of the force, Fx, be, in newtons? |
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