A persons head is bent over her book. The head weighs P=37.2 N and is supported by the muscle force F m exerted by the neck extensor muscles and by the contact force F c exerted at the atlantooccipital joint. Given that the magnitude of F m is 60.0 N and is directed 35.0 degree below the horizontal.  Find the magnitude of the contact force F c.

A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 705-N person is d = 0.500 m from the left end. magnitude of T, magnitude of T, N magnitude of T, N 40.0° -2.00 m-

A uniform plank of length 2.00 m and mass 25.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 695-N person is d = 0.500 m from the left end. magnitude of T |N IN magnitude of T magnitude of N 7,144 -2.00 m 40.0 Q

A 200 N sign hangs from the middle of a cable between two buildings. The ends of each cable are attached to each building at the same height. The cable cannot exceed 1500 N without breaking. Find the minimum angle that the cable can make from the horizontal.

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).

A rigid, vertical rod with a mass of 2.7 kg simply rests on the floor and is held in place by static friction. The coefficient of static friction between the rod and the floor is 1/6. The rod also has a wire connected between its top end and the floor, as shown in the figure. A horizontal force F is applied at the midpoint of the rod. F Æ 45° Find the greatest force F that can be applied at the midpoint of the rod without causing it to slip. N

A 2.00 kg block is held in equilibrium on an incline of angle θ = 65° by a horizontal force  applied in the direction shown in the figure below. If the coefficient of static friction between block and incline is μs = 0.300, determine the following.   (a) the minimum value of  N(b) the normal force exerted by the incline on the block N

Needs Complete solution.

A 24.0 kg beam of length L = 35.1 m is attached at an angle of θ = 36.40 to the side of a building. If the beam is holding up a mass M = 64.4 kg and is supported by a horizontal wire that is attached at location X = 24.5 m (measured along the beam from the building to the wire attachment point), what is the force the building is putting on the beam? What is the Direction of force (measured as an angle off of the side of the building (think west of north)

A uniform plank of length 2.00 m and mass 29.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 685–N person is d = 0.500 m from the left end. magnitude of T1 = magnitude of T2 = magnitude of T3 =