Consider the pulley system depicted in the figure. The block is prevented from moving by the applied force F. Assume the pulleys are massless and frictionless. T₂ = (a) Determine the tension in each section of rope. (Use the following as necessary: M and g.) T₁ = T₁ T₂ Ts = F= Ts M (b) Find the magnitude of F. (Use the following as necessary: M and g.) (c) What If? What should the magnitude of the force F be if the mass M is to have an upward acceleration of magnitude a? (Use the following as necessary: M, g, and a.)

A 1,480-N crate is being pushed across a level floor at a constant speed by a force of 350 N at an angle of 20.0° below the horizontal, as shown in the figure a below. F 20.0° / 20.0° a b (a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) (b) If the 350-N force is instead pulling the block at an angle of 20.0° above the horizontal, as shown in the figure b, what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a). m/s²

In the figure, three masses are attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table. mA = 5.4 kg, mB = 6.2 kg, and mc = 10.7 kg. Find the tension in the cord to the right (between masses B and C) once the blocks have been released and are free to move. Your answer should be in N: Question Help: Read B

Three objects are connected as shown in the figure.  The strings and frictionless pulleys have negligible masses.  The coefficient of kinetic friction is 0.25 and static friction is 0.30.  Block A has a mass of 3 kg and block B has a mass of 4 kg.  a) What is the maximum mass block C can have before block B will start to move?  b) If block C has a mass of 7 kg. and was 1 m above the ground, how long would it take block C to hit the ground starting from rest?

A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is H = 0.603, and the kinetic friction coefficient is µ = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? m/s2 acceleration:

PROBLEM SET 06: Interacting Objects, Tension, Pulleys OPEN a T₁= B Find the magnitude of the tension in each of the three cables supporting the traffic light if it weights w=335 N and a = 20°, 8=83. You may click the image to enlarge. Help on how to format answers: units. T₁= T- Turned in automatically when due Instructions A

Two muscles in the back of the leg pull upward on the Achilles tendon, as shown in the figure. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) Find the magnitude, in newtons, of the total force on the Achilles tendon.

A crate is pushed across a horizontal surface by the applied force shown in the figure. The magnitude of the force F = 24.1 N, 0 = 27.9°, the coefficient of kinetic friction between the block and the surface is 0.4, and M = 2.49 kg, what is the magnitude of the acceleration of the crate in m/s?