As shown, a frictionless pulley hangs from a system of springs and a cable. The pulley is equidistant between the two supports attaching the springs to the ceiling. The distance between the supports is d = 1.50 m. The cable cannot stretch and its length between the two springs is 1.8 m.

John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of 0 = 16.0° with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 411 N is exerted at the center of the wheel, which has a radius of 18.5 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) ..(a.).What force.(in N) must John apply along the handles to just start the wheel over the brick? Enter a number. differs from the correct answer by more than 10%. Double check your calculations. N (b) What is the force (magnitude in kN and direction in degrees clockwise from the −x-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? magnitude KN direction o clockwise from the -x-axis

Two builders carry a sheet of drywall up a ramp. Assume that W = 1.9 m, L = 3.3 m, theta = 19.0⁰, and that the lead builder carries a weight of 109.0 N (24.5 lb). L- Ө What is the weight carried by the builder at the rear? HINT: Consider the drywall to have no thickness. The builder at the rear gets tired and suggests that the drywall should be held by its narrow side. ~W~ 0 What is the weight he must now carry? HINT: From the previous problem, you know how much each builder carries. Therefore you know the total weight. Set the sum of the torques about the front lower corner to 0, so that you do not need to know the weight carried by the builder in front.

Th lamp , mass = 10 Kg,  is suspended in the position shown. The undeformed length of spring AB is 0.84 m and the spring has a stiffness of K = 784 N/m. For L= 2.8 m       find Tension in cable AC , Internal force in spring AB, length of AC