A 10 m long board that has a mass of 20 kg is held up by two vertical ropes. The left rope is 2 m from the left end of the board, and the other rope is 2 m from the right end of the board. A 40 kg box sits 2 m from the right end. Find the tension in the rope on the left.

You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL.   θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).

Two blocks of mass m 10 kg and mg 5 kg are connected by a massless string that passes over a pulley as shown in the figure. The system is in static equilibrium. There is friction between m and the inclined surface (4=0.4). Neglect the friction between the string and the pulley. Determine the static friction force in the system. 10 kg 5.0 kg 37 49 0 N 29.3 N 39.2 N 33.9 N 9.98 N

A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 192 N and is 3.3 m long. What is the tension in each rope when the 692–N worker stands 1.18 m from one end?

The figure shows a 1280 kg car that has slipped over the edge of an embankment. People are trying to hold the car in place by pulling on a horizontal rope. The car's bottom is pivoted on the edge of the embankment, and its center of mass lies farther back, as shown. 2,4m 1,8m 3 If the car makes a 34 degree angle with the horizontal, what force must the people apply to hold it in place? T=_N

A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable. Determine the magnitude of the tension in each vine. d. Now the monkey moves up by clinging up the two vines, causing their angle with the horizontal to become smaller. If each vine breaks at a tension larger than T = 100 N, what is the smallest angel the vines can have with the horizontal?

You’re a highway safety engineer, and you’re asked to specify bolt sizes so the traffic signal shown in the Figure below won’t fall over. The figure indicates the masses and positions of the structure’s various parts. The structure is mounted with two bolts, located symmetrically about the vertical member’s centerline, as shown. What tension force must the left-hand bolt be capable of withstanding?

A 1.5 kg block and a 2.5 kg block are attached to opposite ends of a light rope. The rope hangs over a solid, frictionless pulley that is 30 cm in diameter and has a mass of 0.75 kg. When the blocks are released, what is the acceleration of the lighter block?

A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with μk=μk= 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration.

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude     kNdirection     ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.(  î +  ĵ)…