A hungry bear weighing 720 N walks out on a beam in an attempt to retrieve a basket of food hanging at the end of the beam. The beam is uniform, weighs 220 N, and is 9 m long; the basket weighs 82 N. If the wire can withstand a maximum tension of 958 N, what is the maximum distance x that the bear can walk before the wire breaks? 60.0°
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- An engineering student suspends his 300 N tool box by using a system of ropes and pulleys, as shown in the figure. The mass M1 is equal to 20.0 kg. The angle e and the mass M2 have been chosen so that the entire system remains at rest. Assume that the pulleys are all ideal and frictionless, and that the cords have negligible weight. A+y T2 M2 Mi TOOL BOX 33. The angle 0 is equal to A. 33.2°. В. 3.8°. C. 56.8°. D. 49.2°. E. 40.8°. 34. The mass M2 is equal to A. 30.6 kg. B. 20.0 kg. C. 40.0 kg. D. 50.6 kg. E. 36.6 kg.When the load L is 4.7 m from point C, the tension T in the cable has a magnitude of 5.4 kN. Express T as a vector using the unit vectors i and j. Assume a = 4.7 m, b = 2 m, c = 4.3m. T x j) kN L b Answer: T = (i it iProblem 4. A sailor is being rescued using a boatswain's chair that is suspended from a frictionless pulley that can roll on the support cable ACB and is pulled at a constant speed by cable CD. Knowing that a = 30° and B = 10° and that the combined weight of the boatswain's chair and the sailor is 250 lb, determine the tension in the support cable ACB. (Hint: tension in CD will not be equal to the other rope.) D Problem 5. Determine the tension developed in ropes AB, AC, and AD for equilibrium of the system shown below. 45 60 60° 120° 30° 300 Ib
- Five hockey pucks are sliding across frictionless ice. The drawing shows a top view of the pucks and the three forces that act on each one. The forces can have different magnitudes (F, 2F, or 3F), and can be applied at different points on the puck. Only one of the five pucks could be in equilibrium. Which one? 3F 3F 2F 2F 2F 2F F 2F (1) (3) (4) (5) 3 4 2.A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.818. When the tire surface is rotating at 10.9m/s, the stone flies out the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 2.46 N. Assume that only static friction supplies the centripetal force, and determines the radius r of the tire (in terms of m)Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is uk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is mm, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. If the experiment were repeated where the height hh above the floor was increased, would the distance that the block slides after the hanging object hits the floor increase, decrease, or remain the same? Justify your answer without using or manipulating…
- The answers entered are incorrect. Kindly provide a complete solution. Thank you!A 5 kg beam 2 meters long is used to support a 10 kg sign by means of a cable attached to a building. The signs hangs from the end of the 2 m long beam, and the cable makes a 40 degree angle with the beam. What is the tension in the cable?A spider is hanging from silk strands, as shown in the figure. The force of gravity on the spider is 0.161 N and is directed downward, and the two tension forces are directed as shown, so that the resultant force on the intersection point of the three strands is zero. The angle between the strands with tensions Tx and Ty is 90°, and Tx = 0.135 N. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) What is T, (in N)? N (b) What is the angle between the x-axis in the figure and the horizontal? (Enter the smallest positive angle in degrees.) (c) What is the angle between the y-axis in the figure and the horizontal? (Enter the smallest positive angle in degrees.)
- Connected objects with inclined plane problem. Consider the figure where you have two boxes connected by a string over a pulley. The smooth (frictionless) ramp is inclined to a an angle of 35° with the flat ground, and the box on the ramp has a mass of 6.40 kg. The mass of the 6.4 kg hanging box is m = 3.05 kg. You don't need to consider significant figures in your answer, but don't round excessively partway through your calculations. 35° Find (a) the direction and (b) the magnitude of the hanging box's acceleration.A 17 kg block rests on a 32 degree inclined frictionless surface and is attached by a light string to a 34 kg hanging mass where the string passes over a massless frictionless pulley. If g = 9.8 m/s^2 what is the tension in the connecting string?A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires. What is the normal force that the ground exerts upward on the post?