The ring at B is supported in equilibrium by spring AB, a cable running through the frictionless pulley at C, and cable BD. The pulley radius is 0.0267 m, and the unstretched length of spring AB is 0.24 m. If F1 = 340 N and F2 = 200 N at 0 = 50 degrees, determine the spring constant k and the force exerted on the ring by cable BD expressed in Cartesian components. F1 C R.

V₂ - V₁ = 2 V₂ - V₁ = 1 3 P A modern art sculpture consists of a collar, a spring, and a circular track. The collar has a mass of m = 6 kg and the radius of the track is r = 1 m. If the spring is attached to a point P which is a vertical distance d = 0.3 m away from the perimeter of the circular track (d is measured between point 1 and point P), determine the change in potential energy between state 1 and state 2, and between state 1 and state 3. N The unstretched length of the spring is 0.15 m and the spring constant is k = 85- m UBC Engineering

2 m 3 m 0.75 m 30° 1m 60° y F The system shown is supported by journal bearings at points A, B, and C. The applied force F has a magnitude of 1000N. Take the following support reactions: •Cx=-100 N (acting in negative x-direction) Cy = -1000 N (acting in negative y-direction) • By = +750 N (acting in positive y-direction) Which of the following is closest to the magnitude of the force reaction at A in the z- direction (i.e. Az)? 身

From the following system, obtain the force components for the system X∗ and Y∗ in terms of i and j. It is known that for the system y and x the value of the force components is F = (F76 N i - F500 N j) N . Solve by any analytical method. (use the values on the image (pea1) not the values on image (pea2))