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A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?

A block with a mass of 6.18kg slides down a ramp inclined at 30.0o.  The coefficient of kinetic friction between block and ramp is uk=0.490. The kinetic friction force acting on the block as it slides has a magnitude of ________N.

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 µs = 0.603, and the kinetic friction coefficient is = 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: N If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? acceleration: m/s2

A box of mass m = 20.0 kg is pulled up a ramp that is inclined at an angle 0 15.0° angle with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is µk = 0.285, and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of a 2.89 m/s?, calculate the tension Fr in the rope. Use g = 9.81 m/s² for the acceleration due to gravity. FT = 150.95 N

A block having a mass of m = 13 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 14° and β = 32°. We will label the tension in Cable 1 as T1 and the tension in Cable 2 as T2. a) Write an expression for the sum of forces in the x direction in terms of T1, T2, m, g, α, and β. Use the specified coordinate system.  b) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, g, α, and β. Use the specified coordinate system.

A crate with a mass of m=254kg rests on the horizontal deck of a ship. The coefficient of static friction between the crate and the deck is μs=0.83. The coefficient of kinetic friction is μk=0.47.  Write an expression for the magnitude of the force, Fv, that must be applied to keep the block moving at a constant velocity.

A toy car is rolling down the ramp as shown in the figure. The car's mass is m = 1.6 kg and the ramp makes an angle of θ = 12 degrees with respect to the horizontal. Assume the car is rolling without friction. A) Using the coordinate system specified given an expression for the acceleration of the car in the terms of θ, g and the unit vectors i and j. B) What is the magnitude of this acceleration in m/s^2

QHQBP A(n) 11 kg mass is on an incline, with a = 4.7_m and b = 2.3_m. The coefficient of kinetic friction between the mass and the surface of the incline is k = 0.38. If the mass is initially near the top of the incline and sliding down, then what is the mass's acceleration down the incline? m b 16. 0.9627_m/s² 1.041_m/s² 1.103 m/s² A. B. C. 1-1 a D. E. F. 1.137 m/s² 1.01 m/s² 1.073_m/s²

F(t) Force_Crate Known values: Mass of Block 68 kg TT Hs μk 0 0.63 0.53 26° Problem Statement: A crate is initially at rest on a sloped surface, when a force is applied: F(t) where t is in seconds. Answers: When t=44.47 seconds, the crate has not yet started moving. Find the magnitude of the friction force at that time: 317.771 N The direction of the friction force at that time is: down the slope Find the time required for the crate to start moving: Find the crate's speed when t=174.9 s: 9.485 m/s Be sure to include units with your answers. 169.756 S 240+0.2 N,