Question

A wrench is used to apply a torque to a bolt. Forces F, through Fall have the same magnitude. The point of application of force F, and F) is a distance d from the center of rotation of the bolt. The application points of F). F, and F3 are all distance d apart, as shown. Use the convention that counter-clockwise torques are positive; clockwise torques are negative. 

Part (a) Which of the labeled forces will apply the largest magnitude torque on the bolt? 

Part (b) Which of the labeled forces will apply the smallest magnitude torque on the bolt? 

Part (c) Determine the torque applied on the bolt by F, in terms of the variables and angles given in the problem. 

Part (d) Determine the torque applied on the bolt by F2 in terms of the variables and angles given in the problem. 

Part (e) Determine the torque applied on the bolt by F3 in terms of the variables and angles given in the problem. 

Part (f) Determine the torque applied on the bolt by F, in terms of the variables and angles given in the problem.

Part (g) Determine the torque applied on the bolt by F5 in terms of the variables and angles given in the problem. 

Part (h) Determine the torque applied on the bolt by Fo in terms of the variables and angles given in the problem.

Answer 1

Answer 2

Torque, T = For If l > Za 8 Constant G G = F. COBO xd = 0.866 F d B = z = Farad = 2Fpd F3 Costo x3d = 1.5 Ezd Te = ferd & Fud Tg = Fg Costs Qd = 1.44 Fad G = 0 as Ff passes through atis of rotation. Since all forces are equal, so z > G > To > 4 7 4 7

For exerts greatest torque Y = F, Cosoxd = 0.866 Fd di T = F2 x 2d = 2 fed e) z = F₂ Gostotad = 1.5 Ed f) 4 = F4 xd 91 85 = Es Cos45 x2d = 1.4 Fsd