Masses m1=1kg and m2=2kg are connected to each other by a light rope passing through a frictionless pulley. While mass m1 is connected to a spring with constant k=100 N/m in the horizontal plane with a friction coefficient of µ=0.4, mass m2 hangs freely. It is released when the spring is at its normal length. Calculate the distance h that the m2 mass will descend the most.

Q14. As shown in the image below, the 20-kg box is pulled up the inclined plane with a constant velocity of 4.7 m/s. If the coefficient of kinetic friction between the box and the inclined plane is µ = 0.1, determine the power of force F. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². F Your Answer: Answer 30° units

The force Pis applied to the 52-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 184 N, and (c) P = 245 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are ug = 0.20 and µ = 0.16, respectively. The friction force is positive if up the incline, negative if down the incline. 52 kg 21° H, = 0.20 H = 0.16 13 Answers: (a) F= i N (b) F = i N (c) F= i N (d) P= i N

A rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36 a) calculate the maximum value of b for which the rope will NOT start sliding down the slope. Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. Let y (in metres) be the distance travelled by the rope after it has been released from rest.  b) calculate the initial acceleration of the rope  Calculate the work done by gravity as a function of y  c) calculate the work done by the friction force as a function of y Hence calculate the velocity of the rope at the moment the rope has just completely left the Inclined surface

Two blocks of mass m1 = 2kg and m2 = 8kg are connected by a light string and a smooth pulley. block m1 lies on a smooth horizontal plane and block m2 lies on a rough inclined plane with a friction coefficient of 0.5 (see picture). first the two blocks are held still. The tension in the rope when the two blocks are released is ... (sin 37° = 0.6) 340

A rope of Length L = 3m and mass m= 3Kg is initially At rest and can slide on an inclined surface with Inclined theta = 15° as shown in the figure. Assume that the part of the rope that is not on the Inclined surface hanges down vertically at all times and that the static friction coefficient between the rope and the surface is MUs = 0.36   a) calculate the maximum value of b for which the rope will NOT start sliding down the slope.   Assume that b = 0.33m and that the coefficient of kinetic friction between the rope and the Inclined surface is MUk = 0.27. Let y (in metres) be the distance travelled by the rope after it has been released from rest.    b) calculate the initial acceleration of the rope    c) Calculate the work done by gravity as a function of y