A uniform chain of length 8.00 m initially lies stretched out on a horizontal table. (a) Assuming the coefficient of static friction between chain and table is 0.600, show that the chain will begin to slide off the table if at least 3.00 m of it hangs over the edge of the table. (b) Determine the speed of the chain as its last link leaves the table, given that the coefficient of kinetic friction between the chain and the table is 0.400.

On a horizontal plane a block of mass m = 0.30 kg is placed and initially held at rest. To this block a massless string is attached and it initially keeps another block of mass M = 0.50 kg vertically at rest via a fixed pulley as shown in Figure. The coefficient of kinetic friction between the block m and the plane is Pk -0.25, but the friction between the block M and the vertical wall is zero. Calculate the tension T by string in N. (Hint: First calculate the acceleration of m or M. And set up the equation of motion for M to find the tension T.) T m M

A block has a mass of 6kg and rest initially on a plane inclined at 35°. What value of force is required to stop the block from sliding if: (a) the plane is frictionless, (b) the plane has coefficients of fractions static and kinetic equal to 0.20 and 0.18 respectively? What will the value of the force be if the velocity is constant and is directed upward parallel the incline?

In the figure a fastidious worker pushes directly along the handle of a mop with a force F. The handle is at an angle 0-42° with the vertical, and u, -0.68 and p₁,-0.49 are the coefficients of static and kinetic friction between the head of the mop and the floor. Ignore the mass of the handle and assume that all the mop's mass m-0.73 kg is in its head. (a) If the mop head moves along the floor with a constant velocity, then what is F? (b) If @ is less than a certain value 00. then F (still directed along the handle) is unable to move the mop head. Find 0. K (a) Number (b) Number Units Units

At a family picnic you are appointed to push your obnoxious cousin Throckmorton in a swing . His weight is w, the length of the chains is R, and you push Throcky until the chains make an angle u0 with the vertical. To do this, you exert a varying horizontal force F S that starts at zero and gradually increases just enough that Throcky and the swing move very slowly and remain very nearly in equilibrium throughout the process. (a) What is the total work done on Throcky by all forces? (b) What is the work done by the tension T in the chains? (c) What is the work you do by exerting force F ? (Ignore the weight of the chains and seat.)

A student is skateboarding down a ramp that is 5.02 m long and inclined at 23.6° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.34 m/s. Neglect friction and find the speed at the bottom of the ramp.

A blick of mass m is initially at rest at the highest point of an inclined plane, which has a height of 6.8 m and has an angle of 0=16 degrees with respect to the horizontal. After it has been released, you perceive it to be moving at v=0.55 m/s distance d afteer the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is up=0.1, and the coefficient of friction on the horizontal surfacee is ur=0.2. I already answered part (a) and just need help with part (b):  a. what is the speed of the block, in meters per second, just after it leaves the inclined plane? 9.16 m/s (answer)  b. Find the distance,d, in meters?

The coefficient of static friction µg between the 83-lb body and the 14° wedge is 0.37. Determine the magnitude of the force P required to begin raising the 83-lb body if (a) rollers of negligible friction are present under the wedge, as illustrated, and (b) the rollers are removed and the coefficient of static friction Hs = 0.37 applies at this surface as well. 83 lb 14° Answers: (a) P = i Ib (b) P = i Ib

You are a member of an alpine rescue team and must get a box of supplies, with mass 2.10 kg, up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s². Part A Use the work-energy theorem to calculate the minimum speed that you must give the box at the bottom of the incline so that it will reach the Express your answer numerically, in meters per second. ► View Available Hint(s) V= ΕΠΙΑΣΦΑ A20 ^ ? m/s

As shown in the figure below, a box of mass m = 59.0 kg (initially at rest) is pushed a distance d = 80.0 m across a rough warehouse floor by an applied force of FA = 220 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) (a) work done by the applied force WA = (b) work done by the force of gravity Wg = (c) work done by the normal force WN = (d) work done by the force of friction Wf = rough surface www (e) Calculate the net work on the box by finding the sum of all the works done by each individual force. W Net = J (f) Now find the net work by first finding the net force on the box, then finding the work done by this net force. W Net =