3. Blocks A, B, and Care placed as in the figure below and connected by ropes of negligible mass. Both A and Bhave masses equal to 2.0 kg and the coefficient of friction between each block and the surface is 0.35. Block C descends with constant velocity. B C 36.9° (a) Draw three separate free-body diagrams showing forces acting on block A, B, and C. (b) What is the tension in the rope connecting blocks A and B? (Ans: 6.87 N) (c) What is the mass of block C? (Ans: 2.461 kg)

3. A block of mass m is placed in a straight, horizontal gutter that allows the block to move onlyalong the gutter. There is a coefficient of friction between the block and the gutter of μ . Youexert a constant force of F at an angle of θ above the horizontal and pull the block a distance of d. The block starts at rest and ends at some speed, vf. Derive an expression for vf, final speed ofthe block

b) A 4 kg block is pulled along a rough inclined plane by a force of 71 N as shown in Figure 2. Given the coefficient of friction between the block and inclined plane is 0.4. i. Draw a free body diagram. ii. Calculate the acceleration of the block. 37⁰ Figure 2

Objects 1 and 2 are shown below. Object 1 has mass 20 kg, object 2 has mass 9 kg, and the kinetic coefficient of friction for object 1 on the table is 0.3. If object 1 is pushed so that it is moving away from the pulley, then find the magnitude of the acceleration of each mass and the tension in the string. motion m2 8. acceleration magnitude D. 5.304 m/s? E. 5.069 m/s F. 4.355.m/s A 4.101 m/s? В. 4.813_m/s C. 4.532.m/s? |--/ 9. tension А 38.93_N D. 44.01 N В. 46.13.N E. 41.2_N C. 42.58 N F. 48.44 N /--/

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A 6.0 kg block rests on a smooth table. It is connected by a string of negligible mass to a 2.0 kg block hanging over the end of the table, as shown in the diagram below. a). Find the acceleration of each block. ANb). the tension in the connecting string. APc). the position of the mass A after 0.4 s and 5. EVd). the velocity of mass A at 0.4 s

Two blocks each of mass m = 3.50 kg are fastened to the top of an elevator as in the figure below. 0ugle DOCS Chem (a) If the elevator accelerates upward at 1.6 m/s², find the tensions T, and T, in the upper and lower strings. T2 (b) If the strings can withstand a maximum tension of 91.0 N, what maximum acceleration can the elevator have before the first string breaks? m/s2 1.60 m/s C m Need Help? Read It 3. DETAILS SERCP8 4.P.026.SOLN. MY NOT A shopper in a supermarket pushes a loaded cart with a horizontal force of 13 N. The cart has a mass of 27 kg. (a) How far will it move in 4.0 s, starting from rest? (Ignore friction.) (b) How far will it move in 4.0 s if the shopper places his 30 N child in the cart before he begins to push it? m Need Help? Read It

A flywheel of mass 186 kg has an effective radius of 0.620 m assume that the mass is concentrated along a circumference located at the effective radius of the flywheel What constant torque is required to bring the wheel from rest to an angular speed of 147 rev/min in a time interval of 30.0 s? answer in Nm

Two masses, m1 and m2 are connected by a frictionless pulley and a massless string (idealpulley system). One mass, m1 sits on a 25o incline that is also frictionless, the other mass issuspended in air, as shown in figure 2. The mass on the incline (m1) has a mass of 5kg. Bothmasses are at rest.a) Draw a free-body diagram for both masses.b) What is the value of m2?