A disco ball hangs off of two support beams at a nightclub. The supporting cables are symmetric, in that they have equal length and equal angle with respect to vertical. There is a 40 degree opening angle between the two cables. (a) Draw a free body diagram for the disco ball. (b) What value of tension in the cables, Ft, will support the weight of the ball and hold it in static equilibrium?
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- The weight of the box is W = 90 N and the coefficient of static friction between the box and the floor is u0.65. Neglect the weights of the bars. What is the largest value of the force F that will not cause the box to slip?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 netA uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 61-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket. m bucket = kg T (left) = N T (right) = N
- An elastic rope is stretched between the tops of two identical posts. A man is to walk along the elastic rope. When the man is at the middle of the elastic rope, the tension in the elastic rope is 2220 N. Each half of the elastic rope makes an angle of 8.00with respect to the horizontal. Find the weight of the man.A wrecking ball (weight = 5670 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2760 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°. Find (a) the tension in the support cable and (b) the magnitude of the force exerted on the lower end of the boom by the hinge at point P. (a) Number (b) Number Mk Support, cable Units Units N N 48 BoomA hungry bear weighing 735 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs 200 N, and is 5.50 m long, and it is supported by a wire at an angle of e = 60.0°. The basket weighs 80.0 N. Goodies (a) Draw a force diagram for the beam. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) When the bear is at x = 1.20 m, find the tension in the wire supporting the beam. When the bear is at x = 1.20 m, find the components of the force exerted by the wall on the left end of the beam. (Assume the positive +x direction is to the right and the positive +y direction is upward. Include the sign of the value in your answer.) F = (c) If the wire can withstand a maximum tension of 875 N, what is the maximum distance the bear can walk before the wire breaks?
- When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total is supported by the force n exerted by the floor on the toes of one foot. A mechanical gravitational force on the body, F model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 770 N. (For 0, enter the smaller of the g' two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm a T = R = N = Submit AnswerA 30 kg mass is supported at the end of a horizontal beam of negligible mass that is hinged to a pole as shown. A cable at an angle of 42 with the beam helps support the weight. Find the tension in each cable, T1 and T2.A 1,375 N dowel is held in place by a light cord at an angle = 25.5° to the horizontal as shown in the figure. The dowel is attached to a pivot at the bottom, and a mass of weight w= 1,825 N hangs from its top. The dowel makes an angle of p = 64.5° with the horizontal. Assume the dowel is uniform. (a) Find the tension in the supporting cord (in kN). KN (b) Find the components of the reaction force (in kN) exerted by the floor on the dowel. horizontal component: magnitude direction KN -Select-O vertical component: magnitude direction kN --Select-O