A baseball of mass m = 0.155 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. 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 = (1.13 N)j - (4.2 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. MultipleChoice : 1) Yes. Only the z-component of the force affects the torque. 2) Yes. The z-component of the force must overcome the force due to gravity. 3) No. Only the x-component of the force affects the torque. 4) No. The only force allowed to act in the z-direction is the force due to gravity. 5) No. The lever arm and the z-component of the force lie along the same line. 6) Yes. All components of the force affect the torque. Part (e) In order to obtain a torque of τ = (11.5 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 = (11.5 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 = 0.155 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.
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 = (1.13 N)j - (4.2 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. MultipleChoice : 1) Yes. Only the z-component of the force affects the torque. 2) Yes. The z-component of the force must overcome the force due to gravity. 3) No. Only the x-component of the force affects the torque. 4) No. The only force allowed to act in the z-direction is the force due to gravity. 5) No. The lever arm and the z-component of the force lie along the same line. 6) Yes. All components of the force affect the torque.
Part (e) In order to obtain a torque of τ = (11.5 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 = (11.5 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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