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- The mass M_1 slides on a 45 degree incline surface with a height of H, as shown in the figure . The mass is connected by a flexible rope, over a small pulley (its mass is neglected) and connected to another mass M_2 whose mass is equal to the previous block and is vertically hanging as shown below. The rope is long enough for two blocks to be at rest at height H/2 . The dimensions of the two blocks and the pulley are neglected compared to the height H, the blocks were left to move freely at time t=0 1- At time t> 0 find the vertical acceleration of the mass m_2 2- Which of the two blocks moves down? Calculate the time when it will hit the ground? 3- If the block stopped in the previous paragraph when it hit the ground, but the other block continued to move, clarify whether or not it will hit the pulley. Why?A mass m1 undergoes circular motion of radius R on a horizontal frictionless table, connected by a massless string through a hole in the table to a second mass m2(figure below). If m2 is stationaryIn the shown pulley system, block B starts moving from rest to the right. At the shown instant, the weight W has moved, up m with a variable velocity v(t) = 0.4t+0.5t m/s. (i) drive an equation for the relative position sa/A: (i) Determine the relative velocity between block A and B at the shown instant when the weight acceleration =1.1. Note at the shown isntant x 0.8, y 1.4.
- Tanjiro (mass = mt) and Nezuko (mass = mN) are captured by Rui (R) while on their adventure. Nezuko is hanging above the ground, tethered with Tanjiro on an inclined plane with inclination of e. Rui wants them not to move and he attached m, kg of weights to Nezuko. They are tied using strong spider webs made by Rui as shown. After some time, the weight was severed from Nezuko, causing her to move upward. Assume frictionless pulley and surfaces. Solve for the unknown(s). mw a, acc. right after weight was severed kg kg deg deg kg m/s? 86.0 23.0 40.0 0.849Could you tell the 34th solutionFind the unknown mass of the block 1 needed to balance the bar. Assume that the mass of the bar is negligible. Block 1 is located 0.85 m left of the center of the bar. Blocks 2 and 3 are located at 0.25 m and 0.50 m right of the center of the bar. The masses of the blocks 2 and 3 are showed. Give the result in the nearest whole number. Do not include units in the result. Hint: the only acting force is the weight. This problem is about torque. Use the gravity acceleration on Earth, g = 10 m/s2 0.5 m 0.85 m 0.25 m 2 3 m2 = 1.5 kg m3 = 2 kg %3D ¿ = 'u
- 3) A bar with length `, and mass m is held horizontally by two massless cords as in Figure 1. The bar has non-uniform density, so its center of mass xcm is not necessarily at the center of the bar. The left cord attaches to the wall with angle θ, the right with angle φ. Express all answers in terms of m, g, φ, and θ (or subsets thereof). (i) Draw a diagram with all forces on the bar at their respective locations. (ii) What is the tension in the left cord? Give your answer in terms of m, g, θ, and φ. (iii) What is the tension in the right cord? Give your answer in terms of m, g, θ, and φ. (iv) What is the location of the bar’s center of mass xcm relative to the left most point of the bar (as indicated in Figure 1).A block of mass M is pulled along a horizontal, flat, and smooth (no friction) surface by a rope of mass m, on which a force ?⃗is acting. If we consider that the rope does not stretch out when it is pulled, then the block and rope will move under the same acceleration. Determine the value of such acceleration. Now, if the mass of the rope m is much smaller than the mass of the block M, then what is the approximate value of the acceleration?