Chapter 4, Problem 51P

The wrench is used to tighten a nut on the wheel. Determine the moment of the 120-lb force about the origin O. Express your answer in vector form.

Determine the moment of the force F=40i8j+5kN about the y-axis.

The wrench is used to loosen the bolt. Determine the moment of each force about the bolt’s axis passing through point O.

In steadily turning the water pump, a person exerts the 120-N force on the handle as shown. Determine the moment of this force about point O. Ans. Mo = 14.74 N m CW %3D

Determine the moment of the force F about point P. Express the result as a Cartesian vector.

1. Aforce F is applied to the wrench. Determine the moment of this force about point 0. Solve the problem using both a scalar analysis and a vector analysis.

Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point O. Express the results in Cartesian vector from. Determine the resultant force and the moment of the resultant forse about the point O. Express your answer in terms of the unit vectors i, j and k.

Replace the two forces acting on the pole by a wrench. Write the force R and moment M associated with the wrench as vectors and specify the coordinates of the point P in the y-z plane through which the line of action of the wrench passes. Assume F₁ = 46 N, F₂ = 107 N, a = 1.6 m, b = 6.3 m. F₁ Answers: R=( i M = (i I Force and moment associated with wrench Coordinates of point P. (y,z) = (i F₂ T b i+ i ¡+ i i j+ i j+ ) m i k) N k) N-m

The towline exerts a force of P= 4 kN at the end of the 20-m-long crane boom What is the magnitude of the maximum moment about point O? Is the direction clockwise or counterclockwise? If θ = 32 ∘ , determine the placement x of the hook at A so that force P creates a maximum moment about point O.