A metal block with mass 2.5kgs is clamped to an inclined board with a force of 23N. The angle between the lower end of the board and the ground is 35°. What is the minimum vertical force needed to move the block upward if the coefficient of friction is 0.2?
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- 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)An 66 kg man is climbing up a 7.0 m ladder that is resting against a smooth, frictionless wall. The ladder has a mass of 10 kg and it makes an angle of p=58° with the ground. The maximum horizontal force the ground can exerts to support the ladder is 342.ON. At what position, measured from the bottom along the ladder, as the man climbs the ladder will start to collapse? Answer: 5.55 m.
- A light is suspended using two support struts: AB and CB. If the mass of the light fitting W is 40kg, determine the tension in support struts FAB 50° B W kg FCB 45° D FAB310.5 NFCB 150.7 N FAB=278.5 N; FCB=253.2 N FAB 150.4N; FCB=245.3 N FAB378.5N; FCB=353.2 NThe human 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 2.70 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 182 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?One end of a uniform 4.40-m-long rod of weight F is supported by a cable at an angle of 0 = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.465. Determine the minimum distance x from point A at which an additional object, also with the same weight F, can be hung without causing the rod to slip at point A. A 0 B X You will need to work with the equations F net = 0 and 7 = 0 and manipulate the equations symbolically to solve for the distance. m net
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- Two identical, side-by-side springs with spring constant 240 N/m support a 2.00 kg hanging box. Each spring supports the same weight. By how much is each spring stretched?A bridge crossing a ravine has mass Mb and length L. The bridge is supported by pilings at points A and B at the right and left ends. A truck of mass mt stops at the point L/3 from point B. Find expressions for Fa and Fb, the forces supporting the bridge at each end.A beam of length 11 m is supported as shown below. There is a pin in the bottom end of the beam and a mass hanging from the top end of the beam. If the mass of the beam is mb =264 kg, the hanging block has a mass of m1 =81.8 kg, theta = 50.1 degrees, and phi = 35.1 degrees, what is magnitude of the tension in the wire attaching the beam to the ground?