The system shown below is in equilibrium, with the string in the center exactly horizontal. Block A weighs 40 N, block B weighs 50 N, and angle f is 35°. Find (a) tension T₁, (b) tension T2, (c) tension T3, and (d) angle 0. Ø A T₂ 0 B

Suppose you have a stack of 17 identical steel bars (steel bars have a mass of 1.00kg each). You are required to pull out bar number 16 from the stack (counting from the top of the stack down). Assuming that your assistant holds all other bars in place.   If the coefficient of friction between steel and steel is 0.750, how hard do you have to pull (in N)?

8.3 (a) An object of mass m is suspended from the system of massless ropes as shown. Calculate the tensions T1, T2 and T3 in terms of 01, 02 and m. Hint: The net force at the junction of the three ropes is zero. Check: For 01 = 02 = 45° you should find T1 Tz = T2 = mg/v2. 20.0°, 02 (b) Evaluate your result from part (a) for 01 35.0°, and m = 25.0 kg.

A car of mass m₁ 1000 kg is connected to a trailer of mass m2 = 400 kg by a taut inextensible cable. The car's engine provides a constant forward driving force Fx = 7000 N, which causes the car-plus-trailer to accelerate forwards along the horizontal x-axis. The tension of the cable produces a force on the trailer and also a force on the car. You may assume that the magnitude of the two forces is the same. You may also ignore friction. What is the tension in the cable joining the car to the trailer? Give your answer by entering a number, correct to an appropriate number of significant figures, in the empty box below.

A sailor is being rescued using a boatswain’s chair that is suspended from a pulley that can roll freely on the support cable ACB and is pulled at a constant speed by cable CD . Knowing that a = 30° and β = 10° and that the combined weight of the boatswain’s chair and the sailor is 200 lb, determine the tension (a) in the support cable ACB, (b) in the traction cable CD.

In the figure, a 799 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 55.0° and 0₂ = 66.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) (a) Number i (b) Number (c) Number i Units Units Units B A C 09 >

A 30.6 kg mass (m) is suspended by the cable assembly as shown in the figure. The cables have no mass of their own. The cable to the left (T|) of the mass makes an angle of 0.00° with the horizontal, and the cable to the right (T2) makes an angle (02) of 36.4°. If the mass is at rest, what is the tension in T each of the cables, T¡ and T,? The acceleration due to gravity is g = 9.81 m/s². T = N m T2 = N