The mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.40 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 198 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?

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 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)

FBD+explanation required.