A block of mass 1.90 kg is accelerated across a rough surface by a light cord passing over a small pulley as shown in the figure below. The tension T in the cord is maintained at 10.0 N, and the pulley is 0.130 m above the top of the block. The coefficient of kinetic friction is 0.370. M T (a) Determine the acceleration of the block when x = .400 m. m/s² (b) Describe the general behavior of the acceleration as the block slides from a location where x is large to x = 0. increasing, then decreasing no change O decreasing, then increasing a = (c) Find the maximum value of the acceleration and the position x for which it occurs. X = m m/s² (d) Find the largest value of x for which the acceleration is zero. m

A 5 kg block sits on an inclined plane with angle 30 degrees. A force is applied parallel to the incline. The magnitude of the applied force required to keep the block stationary is

A 14 kg block measures 7 cm by 9 cm by 25 cm. When it slides on a 9 cm by 25 cm face, it moves with constant speed when pulled horizontally by a force whose magnitude is 17 N. How big a horizontal force must be applied to pull it with constant speed if it slides on a 7 cm by 25 cm face?

(a) What is the minimum force of friction required to hold the system of the figure below in equilibrium? Let w, = 120 N and w, = 59.0 N. (b) What coefficient of static friction between the 120 N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 120 N block and the table is 0.295, what hanging weight should replace the 59.0 N weight to allow the system to move at a constant speed once it is set in motion? W2

The coefficient of friction between the inner pulley and the belt is 1/π. Find the maximum value of W that can be supported without rotating the compound pulley P or slipping the belt on the compound pulley P. Pulley B is frictionless. A 200 lb o A P B W

Figure 4 100 g 7. Place a clamp with a hanging mass of 300 g at the 30.0 cm mark of the half-meter stick (Figure 5). Place the second clamp at the 5.0 cm mark on the fulcrum and the third clampa the 40.0 cm mark with a hook upward. Hang the upward hook to a spring balance and find the reading on the balance. Be sure to keep the half-meter stick horizontal 2.66N 10 20 50 luuluuluulw 300g Figure 5 8. Interchange the spring balance with the fulcrum and read the spring balance. 162N

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A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 705-N person is d = 0.500 m from the left end. magnitude of T, magnitude of T, N magnitude of T, N 40.0° -2.00 m-

A uniform plank of length 2.00 m and mass 25.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 695-N person is d = 0.500 m from the left end. magnitude of T |N IN magnitude of T magnitude of N 7,144 -2.00 m 40.0 Q