block of mass m1 hangs from an ideal rope attached to a block of mass m2  which sits on an incline of angle φ. Friction is present between the ramp and m2. (a) Assume that initial neither block is moving. Draw a separate free body diagram for each mass. (b) If the blocks are not moving, what is the magnitude and direction of the force of static friction onm2? (c) If the block are not moving, what is the smallest possible value for the coefficient of static frictionμsbetween the ramp andm2?

A skier of mass 64 kg skis straight down a 12 degree slope at constant velocity. Draw a free-body diagram of the skier with the various external forces acting on her. Include the force of air resistance, which is directed opposite the velocity. (a) Find the value of the normal force. (b) The force of air resistance has a magnitude of 75 N. Find the frictional force on the skis. (c) What is the coefficient of kinetic friction?

A 6.49 kg block is at rest on a horizontal surface. Attached to this block is a massless, stretchlessstring. On the other end of the string is a hanging mass (mB). The coefficients of static and kinetic frictionbetween the block and the surface are 0.728 and 0.563, respectively. (a) Find the minimum value of mB that willcause the block to begin to move. (b) What is the acceleration of the block when the hanging mass is equal tothe value found in part (a)? (c) What is the acceleration of the block when the hanging mass is equal to twice thevalue found in part (a)?

Figure 1 В А Three blocks, labeled A, B, and C, are connected by essentially massless strings that run over essentially massless and frictionless pulleys (as shown in Figure A above). Block A hangs straight down. The string from block A connects to block B which is sliding up and to the left along an inclined plane. The plane is inclined at an angle of theta = 0 = 52 degrees away from vertical. The coefficient of kinetic friction between block B and the plane is 0.38. Block B is connected by a different string to block C which hangs straight down. Block A has a mass of 4.1 kg. Block B has a mass of 3.7 kg. Block C has a mass of 2.5 kg. Block A is moving down and block C is moving up (the strings do not stretch). The only significant forces acting on the blocks are friction acting on block B, normal forces, tension forces, and gravity (with g = 9.81 m/s²). Calculate the %3D acceleration (in units of meters per second squared) of block A. For block A, a downward acceleration is…