(4%) Problem 10: A block having a mass of m = 16.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: ? = 16° and ? = 32°. 33% Part (a) From the images below, choose the correct free body diagram. 33% Part (b) Solve for the numeric value of T1, in newtons. 33% Part (c) Solve for the numeric value of T2, in newtons.
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The forces acting on the block are its weight (W = m*g, where g is the acceleration due to gravity) acting downwards and the tensions T1 and T2 in the cables acting along the cables. We can resolve the tensions into their horizontal and vertical components. The Show more…
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A block having a mass of m = 16.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 13° and β = 35°. We will label the tension in Cable 1 as T1 and the tension in Cable 2 as T2. Part (a) From the images below, choose the correct free body diagram. Part (b) Write an expression for the sum of forces in the x direction in terms of T1, T2, m, g, α, and β. Use the specified coordinate system. Part (c) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, g, α, and β. Use the specified coordinate system. Part (d) Solve for the numeric value of T1, in newtons. Part (e) Solve for the numeric value of T2, in newtons.
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Problem 5: A man is attempting to lift a crate using a pulley system as shown in the image. The crate has a mass of 73 kg, and the man has a mass of 75 kg. He pulls downward on the rope with a force of magnitude F = 631 N. The pulleys are massless and frictionless. Part (a) Using T to describe the magnitude of the tension force, write an expression for the sum of the forces in the Y-direction acting on the crate in terms of gravity and the variables provided. Part (b) Using the results from above, write an expression for the crate's vertical acceleration, a_c, in terms of T. Part (c) What is the magnitude of the tension force, T, in newtons? Part (d) What is the block's acceleration, a_c, in m/s^2?
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(Figure 1) shows an Atwood machine that consists of two blocks (of masses m1 and m2) tied together with a massless rope that passes over a fixed perfect (massless and frictionless) pulley. In this problem, you'll investigate some special cases where physical variables describing the Atwood machine take on limiting values. Often, examining special cases will simplify the problem so that the solution may be found from inspection or from the results of problems you've already seen. Part G For the same special case (m1 = m2 = m), what is the acceleration of the block of mass m2? For all parts of this problem, take upward to be the positive direction and take the gravitational constant g to be positive. Part H Finally, suppose m1 → ∞, while m2 remains finite. What value does the magnitude of the tension approach?
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