A body with mass m1 = 3.5 kg is on an inclined plane with an angle of 37º. It is connected by a rope passing over a pulley to another body with mass m2 = 5 kg hanging vertically. The coefficient of friction is μ = 0.2, and the system slides towards m2. Draw the force diagrams for each body and their components.  Calculate the frictional force and the normal force acting on mass m1.  Calculate the system's acceleration and the tension in the rope. If the inclined plane is 60 m long, determine the time it will take for m1 to travel this distance if it started from rest.

A 1.90 kgkg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.170 mm, to a hanging book with mass 3.10 kgkg. The system is released from rest, and the books are observed to move 1.10 mm in 0.900 ss. a) What is the tension in the part of the cord attached to the textbook? Express your answer with the appropriate units. b) What is the tension in the part of the cord attached to the hanging book? Express your answer with the appropriate units. c) What is the moment of inertia of the pulley about its rotation axis? Express your answer with the appropriate units.

The figure below shows two blocks A and B with masses ma = 4.0 kg and mg = 20 kg moving together under the influence of a constant force of 36 N applied directly to block A. The blocks are moving over a rough horizontal surface with coefficient of kinetic friction µr = 0.2. Find the magnitude of the force that block A exerts on block B. ma = 4.0 kg m3 = 20 kg 36 N A B

An object with a mass of m placed on an oblique surface at an angle. We applied a horizontal force f = mg on the particle as shown. Assume that the friction force between the object and the surface is so large that the object remains in place? Find the vertical force FN and the friction force ff ? In terms of the static friction coefficient, what is the range of the angle at which the object remains stagnant?

A 28.0-kg block is connected to an empty 2.62-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.48 and the coefficient of kinetic friction between the table and the block is 0.30. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord.  Calculate the acceleration of the system.

Two blocks of masses M1=3.5 kg and M2=5.7 kg are at rest on a horizontal surface with a coefficient of friction uk = 0.12. You start them moving by pushing on block 1 with a force F1H = 33 N at an angel of theta = 42 degrees below the horizontal. Draw free body diagrams for M1 and M2 and label each force and what type of force it is, if known, which object causes the force and which object feels the force. Choose and label a coordinate system for your free body diagrams and apply N2L to the free body diagrams you have drawn in each direction. Determine the magnitude of the kinetic friction force on each block.

Two blocks are connected as shown. Their masses are m1 = 6.12 kg and m2 = 4.95 kg. The tabletop supporting Block 1 is frictionless. The masses for all strings and all pulleys in this problem are negligible. The friction in the pulleys is also negligible. Note the magnitude of the acceleration of mass m1 is twice that of mass m2 because of the way strings are connected to the two masses. 1. Calculate the magnitude of the acceleration in m/s2 for Block 2? 2. Calculate the magnitude of the tension (in Newtons) in the string attached to Block 1?

Mass m₁ = 12.9 kg is on a horizontal surface. Mass m₂ = 8.00 kg hangs freely on a rope which is attached to the first mass. The coefficient of static friction between m₁ and the horizontal surface is μ = 0.560, while the coefficient of kinetic friction is uk = 0.175. m1 m₂ If the system is set in motion with m₁ moving to the right, then what will be the magnitude of the system's acceleration? Consider the pulley to be massless and frictionless. 2.70 m/s^2 You are correct. Your receipt no. is 157-4031 > Previous Tries If the system is set in motion with m₁ moving to the left, then what will be the magnitude of the system's acceleration? 1.306 m/s^2 Submit Answer Incorrect. Tries 1/12 Previous Tries

A 28.0-kg block is connected to an empty 2.60-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.47 and the coefficient of kinetic friction between the table and the block is 0.26. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord. Calculate the mass of sand added to the bucket and acceleration of the system.

Objects with masses m₁ = 11.0 kg and m₂ = 6.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m₂ falls 1.00 m in 1.64 s, determine the coefficient of kinetic friction between m₁ and the table. 54.39 X Express the friction force in terms of the coefficient of kinetic friction. Obtain an expression for the acceleration in terms of the masses and the net force, including friction, and solve for the coefficient of kinetic friction. m1 m₂