1) textbook problem 3.2, A double Atwood machine is shown in Fig. 3.12, with masses m1, m2, and m3. Find the acceleration of the masses. 2) textbook problem 3.26. You can start with the results from the first problem and use that as a starting point for this homework (be careful of the names of the masses in the two diagrams). In the Atwood machine shown in Fig 3.19, what should M be, in terms of the other masses, so that it doesn't move. sol oll M m₁ m2
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- In Lab 3 (Kinematics), you examined an object of mass m moving down a ramp tilted at an angle of 0. In that lab you were given a theoretical formula of a=g'sin(0) m a. Use forces to derive the formula above. T b. If the box is released from rest at the top of the ramp, find an expression (formula) for the speed of the box at the bottom of the ramp, vệ As part of your solution, you are required to fill out the following: FBD Forces in x-direction Forces in y-direction MacBook Pro Search or type URL % & 5 7 * 00Needs Complete typed solution with 100 % accuracy.Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.) Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.
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- please solve , don't copy itPlease proceed with handwritten. Be sure , Don't just try.Given the following information, how would you find the magnitude of the acceleration of the system. Express youranswer in terms of known quantities such as m1, m2, theta, k, xs, x0, and g. "A ball of mass m1 and block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the figure below. The block lies on a smooth plane inclined at an angle 'theta'. The ball is attached to a spring whose spring constant is k and equilibrium position x0. The spring is then stretched so it measures a length xs. You may use the fact that the force due to a spring is opposite the stretch and equal to −kΔxstretch. The system is then released. You can assume that the acceleration due to gravity is given as g, and use the consistent coordinate system specified for each object."