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Two uniform, 75.0 g marbles
2.00 cm in diameter are stacked as shown
in Fig. in a container that is 3.00 cm
wide. (a) Find the force that the container exerts
on the marbles at the points of contact A,
B, and C. (b) What force does each marble
exert on the other?
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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).Consider the 63.6-kg mountain climber in the Figure below. Assume the given angle of the rope from the rock wall is 33.5 degrees instead of 31 degrees; likewise assume the angle of the climbers legs from vertical is 11.4 degrees instead of 15 degrees. Find the force that the mountain climber must exert with her feet in pounds on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. 31 15 Type your answer...1. The picture shows a heavy ball held in the palm of a hand. The mass of the ball M is 7.5 kg. The lower arm is horizontal and is held by the force from the bicep Biceps muscle in the vertical upper arm. Given that the mass of the lower arm is 2.0 kg, what is the magnitude of (a) the force of the biceps muscle on the lower arm and (b) the force between the bony structures at the elbow Elbow contact contact point? point 4.0 cm Lower arm (forearm plus hand) center 15 cm Draw a free body diagram to indicate all the forces on the lower arm. And write down where is the pivot -33 cm of mass point when you calculate the torque in each part.
- A 2.00 kg block is held in equilibrium on an incline of angle e = 45° by a horizontal force F applied in the direction shown in the figure below, If the coefficient of static friction between block and incline is u. = 0.300, determine the following. (a) the minimum value of F (b) the normal force exerted by the incline on the blockThe block shown in (Figure 1) has a mass of m = 100 kg, a height H = 1.4 m, and width L = 2 m. It is resting on a ramp that makes an angle = 38 ° with the horizontal. A force P is applied parallel to the surface of the ramp at the top of the block. What is the maximum force that can be applied without causing the block to move? The coefficient of static friction is μ = 0.38, and the center of mass of the block is at the center of the rectangle. Figure Att P H ( y N F x 2 of 2 Part D Use the free-body diagram shown in (Figure 2) and write the equilibrium equation for the moments about the point of contact. Express your answer in terms of one or more of P, W, H, L, N, F, and 0. Σ Μo = 0 = Submit Part E Ptip= Submit Part F What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip? Express your answer to three significant figures with appropriate units. CHA Pmax = IVE ΑΣΦΠ 1 Submit Request Answer Value Provide Feedback Request…Suppose a horse leans against a wall as in (see attached). Calculate the force exerted on the wall assuming that force is horizontal and using the data in the schematic representation of the situation. Note that the force exerted on the wall is equal and opposite to the force exerted on the horse, keeping it in equilibrium. The total mass of the horse and rider is 825 kg. Take the data to be accurate to three digits......................................N
- Please asapA uniform 22 kg beam, 3.0 m long, is attached to a wall on the left by a hinge, and is supported by a cable on its right end. A 13 kg monkey hangs from the beam, 1.0 m from the left end. a) Determine the tension in the cable. b) Determine the magnitude of the force due to the hinge on the beam.Suppose a horse leans against a wall as shown in the figure. The total of the horse and rider is 500 kg. Part a : calculate the magnitude of the force in newtons on each foot of the horse in the figure assuming the center of the mass of the horse between and the weight is equally divided between the two feet on the ground. Part b: what is the minimum coefficient of friction between the hooves and ground? Note that the force exerted by the wall is horizontal.
- A 7-kg mass (m1) hangs from a cord that runs through a pulley and back down to attach to a 6-kg mass (m2) that is hanging from the other side. The pulley has a mass of 5.00-kg and a diameter of 20-cm. Find: A) the tension in the cord supporting m1 and the tension in the cord supporting m2; B) the tension in the cord supporting the pulley. C) Why is the answer to B) not equal to the sum of tensions in A)? Why is it not equal to the sum of the three weights?A 7-kg mass (m1) hangs from a cord that runs through a pulley and back down to attach to a 6-kg mass (m2) that is hanging from the other side. The pulley has a mass of 5.00-kg and a diameter of 20-cm. Find: A) the tension in the cord supporting m1 and the tension in the cord supporting m2; B) the tension in the cord supporting the pulley. C) Why is the answer to B) not equal to the sum of tensions in A)? Why is it not equal to the sum of the three weights?A pair of wedges is used to lift a crate as shown in The crate weighs 4000 lb, the wedge angle e is Fig. 18°, and the coefficient of friction is 0.15 at all surfaces. The weight of the wedges is negligible. Determine The force P necessary to remove the wedge or to pre- vent the wedge from slipping out W