Illustrated below is a 14-lb wooden pole tied on a 3-ft long rope at the bottom of a freshwater lake (γ = 62.47 lbs/ft3). The pole is 10 feet long and has a uniform cross-section of 7.5 in2. If the support is 8 feet below the free surface, determine the angle β produced.
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Illustrated below is a 14-lb wooden pole tied on a 3-ft long rope at the bottom of a freshwater lake (γ = 62.47 lbs/ft3). The pole is 10 feet long and has a uniform cross-section of 7.5 in2. If the support is 8 feet below the free surface, determine the angle β produced.


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- A 1,300 N shaft is held in place by a light wire at an angle 0 = 29.0° to the horizontal as shown in the figure. The shaft is attached to a pivot at the bottom, and a mass of weight w = 2,075 N hangs from its top. The shaft makes an angle of Q = 61.0° with the horizontal. Assume the shaft is uniform. A 31 m (a) Find the tension in the supporting wire (in kN). KN (b) Find the components of the reaction force (in kN) exerted by the floor on the shaft. horizontal component: magnitude direction KN right vertical component: magnitude direction upward KN ¾ >Chapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 3.1 m and its weight is 240 N. Also, let the block's weight W = 270 N and the angle e = 41°. The wire can withstand a maximum tension of 420 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? Com (a) Number Units (b) Number Units (c) Number UnitsIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA= 1.7 AB; the Young's moduli of the cylinders are related by EA= 1.9 EB. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dAfor cylinder A and dB for cylinder B. (c) What is the ratio dA/dB?
- Chapter 12, Problem 034 In the figure, a thin horizontal bar AB of negligible weight and length L = 3.1 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle e = 42° with the horizontal. A block of weight W = 250 N can be moved anywhere along the bar; its position is defined by the distance x = 1.75 m from the wall to its center of mass. Find (a) the tension in the wire, and the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A. Com A B (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show WorkYou 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).Chapter 12, Problem 028 GO In the figure, suppose the length L of the uniform bar is 2.7 m and its weight is 220 N. Also, let the block's weight W = 280 N and the angle 0 = 27°. The wire can withstand a maximum tension of 440 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? com A (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show Work
- Please help meAsapIn the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA= 2.8 AB; the Young's moduli of the cylinders are related by Ea= 2.3 Eg. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick's mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dafor cylinder A and dg for cylinder B. (c) What is the ratio da/dg? da ! dg com of brick A B (a) Number i Units (b) Number i Units (c) Number i Units
- Directions: Assume, unless otherwise specified, that all numbers have at least 3 significant figures. F (N) Students collect data, see graph, for the force involved in stretching a rubber band. The data is well fit by the equation F = 33.65 x0.4971, 12 10 where F is in newtons and x is in meters. One end of the rubber band is attached to a stationary vertical rod and the other end to a 0.3 kg mass. The mass rests on a frictionless horizontal surface. The mass is pulled back such that the rubber band is stretched by 0.8 m from its unstretched length and then released from rest. 4. x (m) 0,1 0.02 0.04 0.06 0.08 A. What is the speed of the mass after it has traveled 0.4 m? B. What is the maximum speed of the object?One end of a uniform € = 3.40-m-long rod of weight w is supported by a cable at an angle of 8 = 37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is μ = 0.590. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A. BAfter an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure. The horizontal steel beam had a mass of 90.20 kg per meter of length, and the tension in the cable was T = 12820 N. The crane was rated for a maximum load of 500 kg. The acceleration due to gravity is g = 9.810 m/s². 2.250 m, 0.594 m, x = 1.250 m, and h = If d = 5.290 m, s = what was the magnitude of W₁ (the load on the crane) before the collapse? What was the magnitude of force Fp at the attachment point P? h W₁ = Fp = d 0 W₁ L 1 N N