A wrecking ball (weight = 5770 N) is supported by a boom, which may be assumed to be uniform and has a weight of 3250 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. Support cable (a) Number i Units (b) Number i Units Boorn P 48
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- A 14.0 m uniform ladder weighing 520 N rests against a frictionless wall. The ladder makes a 65.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.80 m along the ladder from the bottom. horizontal force magnitude direction N towards the wall vertical force magnitude direction up N (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips? mAn 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 hungry bear weighing 730 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 5.00 m long, and it is supported by a wire at an angle of 0 = 60.0°. The basket weighs 80.0 N. Goodies Q (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 = 1.16 m, find the tension in the wire supporting the beam. N When the bear is at x = 1.16 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 positiv direction is upward. Include the sign of the value in your answer.) Fx N N (c) If the wire can withstand a maximum tension of 775 N, what is the maximum distance the bear can walk before the wire breaks? m
- Forces F₁, F₂, and F 2 3 act on the structure shown below, at an overhead view. We wish to put the structure in equilibrium by applying a fourth force, at a point such as P. The fourth force has vector components an We are given that a = 2.9 m, b = 3.4 m, c = 1.3 m, F₁ = 21 N, and F F2= 12 N, and F3 = 6.4 N. (a) Find F 47 F (b) Find F. (c) Find d. N N E a VA 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 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?
- Problem: A 80 kg construction worker is sitting 2.0 m from the right end of a 1450 kg, 6.0 m long beam. What is the tension in the cable attached at an angle of 30 deg. from the beam? (A) Pictorial Representation (B) Physical RepresentationA meter stick with a mass of 0.83 kg is held perpendicular to a vertical wall by a cord of length d = 1.8 m attached to the end of the meter stick and also to the wall above the other end of the meter stick. (a) Determine the tension in the cord. N(b) Will the tension in the cord will be greater than, less than, or the same as that found in part (a) if the string is shortened? greater thanless than the same asA 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?
- 20° 60° 2. A 10,000 N weight is supported by a cable attached to a massless beam, 4 m long, that can pivot at its base. The beam is stabilized by a second cable attached to a wall. It settles in the position shown on the left, where the weighted cable is vertical, the second cable is 20⁰ from horizontal, and the beam is 60° from horizontal. Find the tension in the second cable and the horizontal and vertical reaction forces at the W base of the beam.The truss structure in a Figure Q4a is supported at A and B and has three forces acting vertically at nodes D, E and C, where F₁ = 25 KN, F2 = 75 kN and F3 = 35 kN. The horizontal distance between nodes A and B is d₁= 3.50 m and the horizontal distance between nodes B and C is d₂= 3.50 m. The angle a = = 60°, B = 60° and angle 0 = 30°. α F1₁ d1 3 IB * F2 E d2 Ꮎ F3 с Figure Q4a a) Determine the reactions at RA and Rc and A and C. Give your answers in kilonewtons (kN) to two decimal places. b) Determine the force acting in member AB and clearly state if the member is in compression or tension. Give your answer in kilonewtons (kN) to two decimal places.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?