Two crates connected by a rope of negligible mass lie on a horizontal surface. (Figure 1) Crate A has mass mA and crate B has mass mB. The coefficient of kinetic friction between each crate and the surface is μk. The crates are pulled to the right at a constant velocity of 3.20 cm/s by a horizontal force F→. 1.Make a free-body diagram for crate A. Complete the free-body diagram by starting each vector at the center of crate A. The starting point and orientation of the vectors will be graded. The length of the vectors will not be graded. 2. Make a free-body diagram for crate BB. Complete the free-body diagram by starting each vector at the center of crate BB. The starting point and orientation of the vectors will be graded. The length of the vectors will not be graded. 3.Calculate the magnitude of the force  F→. Express your answer in terms of mA, mB, and μk and any necessary constants. 4. Calculate the tension in the rope connecting the blocks. Express your answer in terms of mA, mB, and μk and any necessary constants.

Two blocks are connected by a massless, stretchless string. One of the blocks is on a horizontal frictionlesssurface. The string goes over a massless, frictionless pulley. The second mass simply hangs from the string. Between thefirst block and the pulley the string is parallel to the horizontal surface.a) Draw the free-body diagram for the first block (the one on the surface).b) Draw the free-body diagram for the second block (the hanging mass).c) Setup Newton’s second law for the first block.d) Setup Newton’s second law for the second block.e) Symbolically, what is the magnitude of m1’s acceleration?f) Symbolically, what is the magnitude of the tension in the string?Answer the following questions using the equation you derived in part (e) above.g) What is the magnitude of m1’s acceleration if m1 is 5.00 kg and m2 is 1.00 kg?h) What is the magnitude of m1’s acceleration if m1 is 1.00 kg and m2 is 5.00 kg?i) What is the magnitude of m1’s acceleration if m1 is 3.00 kg and m2 is 3.00…

A block and a ball are connected by a string as shown in the figure. The block sits on a level, rough surface. The coefficient of static friction between the block and the surface is μ = 0.841. The ball hangs freely from the string. The mass of the block is 18.82 kg. What is the largest mass of a ball you could hang from the string without causing the block to slide?

y Problem 3: The diagram shows the all of the forces acting on a body of mass 2.31 kg. The three forces have magnitudes F₁ = 50.6 N, F2 = 20.8 N, and F3 = 75.8 N, with directions as indicted in the diagram, where 0 = 39.6 degrees and p = 30.1 degrees. The dashed lines are parallel to the x and y axes. At t = 0, the body is moving at a speed of 7.93 m/s in the positive x direction. Part (a) What is the x component of the acceleration in m/s²? ax = || Ę Lª F $ F