Tutorial Sheet 1B

Tutorial Sheet 1B

Q1

Topic: 2-D Moment of Forces

A prybar is used to remove a nail as shown. Determine the moment of the 240 N force about the point O of contact between the prybar and the small support block.

Figure Q1 Q2

A force F of magnitude 60 N is applied to the gear. Determine the moment of F about point O.

Figure Q2

Q3

Determine the angle θ which will maximize the moment Mo of the 200 N force about the shaft axis at O. Also compute Mo.

Figure Q3 Q4

The spring-loaded follower A bears against the circular portion of the cam until the lobe of the cam lifts the plunger. The force required to lift the plunger is proportional to its vertical movement h from its lowest position. For design purposes determine the angle for which the moment of the contact force on the cam about the bearing O is a maximum. In the enlarged view of the contact, neglect the small distance between the actual contact point B and the end C of the lobe.

Figure Q4

Q5

As the result of a wind blowing normal to the plane of the rectangular sign, a uniform pressure of 175 N/m2 is exerted in the direction shown in the Figure Q. Determine the moment of the resulting force about point O. Express your result as a vector using the coordinates shown.

Figure Q5 Q6

The small crane is mounted along the side of a pickup bed and facilitates the handling of heavy loads. When the boom elevation angle is θ = 40o , the force in the hydraulic cylinder BC is 4.5 kN, and this force applied at point C is in the direction from B to C (the cylinder is in compression). Determine the moment of this 4.5-kN force about the boom pivot point O.

Figure Q6