A baseball of mass m = 0.145 kg is suspended vertically from a tree by a string of length L = 1.1 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. (b) Calculate the magnitude of the torque, in newton meters, for the force F = (1.16 N)j - (4.8 N)k. (c) Find the magnitude of the resulting momentary angular acceleration, in radians per second squared, of the ball about the top of the string. (d) Does the z-component of the force affect the torque on the baseball?
A baseball of mass m = 0.145 kg is suspended vertically from a tree by a string of length L = 1.1 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.
(b) Calculate the magnitude of the torque, in newton meters, for the force F = (1.16 N)j - (4.8 N)k.
(c) Find the magnitude of the resulting momentary
(d) Does the z-component of the force affect the torque on the baseball? Choose the correct answer.
(e) In order to obtain a torque of τ = (10.8 N˙m)j, what must the value of the y-component of the force, Fy, be, in newtons?
(f) In order to obtain a torque of τ = (10.8 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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