A child weighing 200 N is being held back in a swing by a horizontal force of 125 N. Use the graphical method to determine the tension T in the rope and the angle θ that the rope makes with respect to the horizontal. Include the graph in your lab report. Verify your answer using the force table

The systems shown below are in equilibrium with m = 7.50 kg and 0 = 25.0°. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the Incline are frictionless. m m m m

The image below depicts the Apollo 16 Lunar Module (LM) on the moon's surface. The diagram to the right is a model of one of the four landing gear assemblies. Determine the force supported by members AB, AC, and AD under the assumption that the weight of the LM is uniformly distributed by all four landing gear assemblies. Use Mathematica or an online calculator such as the WolframAlpha 3 Equation System Solver to solve the 3 x 3 system of equations that you will end up with. Z NASA X A (2.5, 2.5, -2.2) m B (1.5, 1.5,0) m C(2, 1,-1.2) m D(1,2,-1.2) m B D

The pair of pulleys is used to lift a 40-kg block 0.25 m. The constant upward acceleration of the block during the lift is +2.5 m/s^2, and the pulleys and rope have negligible inertia and negligible friction. A. What is the tension in the pulling rope? Express your answer with the appropriate units. B. What is the tension in the rope from which the block hangs? Express your answer with the appropriate units. C. Determine the magnitude of the force exerted by the upper mount on the top pulley. Express your answer with the appropriate units. D. How much work is done by the person pulling the rope in lifting the block 0.25 mm? Express your answer with the appropriate units. E. By how much does the kinetic energy of the block change in this process? Express your answer with the appropriate units. F. How much work is done on the block by the rope attached to it? Express your answer with the appropriate units. G. How much work does the ceiling do in this process? Express your answer with the…