Engineering Mechanics - Equilibrium of a Particle

Determine the force F needed to hold the 4-kg lamp in the position shown.

The patella P located in the human knee joint is subjected to tendon forces T₁ and T₂ and a force F exerted on the patella by the femoral articular A. If the directions of these forces are estimated from an X-ray as shown, determine the magnitudes of T₁ and F when the tendon force T₂ = 6 lb.. The forces are concurrent at point O.

A continuous of total length 4 m is wrapped around the small frictionless pulleys at A, B, C, and D. If the stiffness of each spring is k = 500 N/m and each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d = 2 m.

Determine the force in each strut and tell whether it is in tension or compression.

The ends of the three cables are attached to ring at A and to the edge of a uniform 150-kg plate. Determine the tension in each of the cables for equilibrium.