Answered: A baseball of mass m = 0.155 kg is…

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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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 72PQ: Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the...

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Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the magnitude ofeach torque exerted around the center of the disk. FIGURE P12.71 Problems 71-75
Consider a triangular plate. F₁ = 9.4 N, F₂ = 10 N, and F3 = 9.8 N. Consider the counterclockwise sense as positive. The sum of the torques (in N.m) about the vertical axis through point O, acting on the plate due to forces F1, F2, and F3, is 0.60 m 45% 0 30° 1.00 m 0.80 m B
A uniform thin rod of mass m = 3.2 kg and length L = 1.7 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 3.5 N, F2 = 4.5 N, F3 = 15 N and F4 = 17 N. F2 acts a distance d = 0.21 m from the center of mass.Calculate the magnitude τ1 of the torque due to force F1, in newton meters. τ1 = Calculate the magnitude τ2 of the torque due to force F2 in newton meters. τ2 = Calculate the magnitude τ3 of the torque due to force F3 in newton meters. τ3 = Calculate the magnitude τ4 of the torque due to force F4 in newton meters. τ4 =Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive. α =
One end of a meter stick is pinned to a table, so the stick can rotate freely in a plane parallel to the tabletop. Two forces, both parallel to the tabletop, are applied to the stick in such a way that the net torque is zero. The first force has a magnitude of 2.00 N and is applied perpendicular to the length of the stick at the free end. The second force has a magnitude of 6.00 N and acts at a 58.7° angle with respect to the length of the stick. Where along the stick is the 6.00-N force applied? Express this distance with respect to the end of the stick that is pinned.
A uniform thin rod of mass m = 3.2 kg and length L = 1.7 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 3.5 N, F2 = 4.5 N, F3 = 15 N and F4 = 17 N. F2 acts a distance d = 0.21 m from the center of mass.Calculate the magnitude τ1 of the torque due to force F1, in newton meters. τ1 = 2.975Calculate the magnitude τ2 of the torque due to force F2 in newton meters. τ2 =0.6682 Calculate the magnitude τ3 of the torque due to force F3 in newton meters. τ3 =0 Calculate the magnitude τ4 of the torque due to force F4 in newton meters. τ4 =0Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive. α = ????
To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.92 m, ry = 0.065 m, rz = 0.025 m, Fx = 5.8 N, Fy = -1.8 N, Fz = 6.6 N. (c) If the moment of inertia of the beam with respect to the pivot is I = 498 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
Problem 22: To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. Part (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.19m, ry = 0.025 m, rz = 0.035 m, Fx = -7.8 N, Fy = 1.2 N, Fz = 2.2 N. Part (c) If the moment of inertia of the beam with respect to the pivot is I = 494 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
A wrench of length X cm is used to loosen a nut attached to a bolt. If a perpendicular force F Newtons is applied to the wrench, arrange in order of maximum to minimum, the torque that can be applied on the nut. Maximum 1 F(X-4)/100 Nm 2 F(X-2)/100 Nm 3 ⠀⠀FX/100 Nm + 4 F(X-X)/100 Nm Minimum
An angler with a fishing rod that makes an angle of 20.0° above the horizontal. The distance from the angler's hand to the tip of the rod is L = 1.83 m. A fish is on the line, and it pulls the line with a force of F = 103 N at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N · m) exerted by the fish about an axis perpendicular to the page and passing through the angler's hand?
To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.31 m, ry = 0.095 m, rz = 0.085 m, Fx = 6.8 N, Fy = -4.4 N, Fz = 1.2 N. If the moment of inertia of the beam with respect to the pivot is I = 64 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 42.0 kg, is hanging 1.55 m along the branch from the tree trunk. The other child, with a mass of 32.0 kg, is hanging 2.00 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.
Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 48.0 kg, is hanging 1.05 m along the branch from the tree trunk. The other child, with a mass of 27.0 kg, is hanging 2.25 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk. Number i The Way Units -12. Kana