*Problem 3: An 80 kg construction worker sits down 2.0 m from the end of a uniform 1450 kg steel beam to eat his lunch. The steel beam is in static equilibrium. a) Draw an extended FBD for the beam. Cable b) Use Et = Ia to find the tension in the cable. (Answer: 15,255 N) c) Find the horizontal force applied from the building to the beam. (Answer: 13,211 N) d) Find the vertical force applied from the building to the beam. (Answer: 7367 N) 30° 6.0 m
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- 1. ch A uniform 40.0-kg scaffold of length 6 m is supported by two light cables, as shown below. An 80 kg painter stands 1 m from the left end of the scaffold, and his painting equipment is 1.5 m from the right end. The tension in the left cable is twice that in the right cable. Find 1. The tension in the left cable = 2. The tension in the right cable = 3. The mass of the equipment = N 99+ N kg Think & Prepare 1. If the plank is in equilbrium, torque about any point will be zero. Pick a point about which to calculate torques. 2. Draw all forces and torques. 3. Write down the First Condition for Equilibrium symbolically. 4. Write down the Second Condition for Equilibrium symbolically. 5. How many unknowns are there? How many equations are there? 6. How can you solve the equations find the unkowns?11. The diagram below shows a ladder that is 6.0 m long and has a mass of 20.0 kg. The ladder rests on a level floor and against a wall at an angle of 15° to the wall. The coefficient of static friction between the ladder and the floor is 0.232. A person with a mass of 60.0 kg begins to climb the ladder. The base of the ladder will begin to slide away from the wall when the person reaches which distance interval from the base of the ladder? A. 0 m–1.5 mB. 1.5 m–3.0 mC. 3.0 m–4.5 mD. 4.5 m–6.0 mThe uniform diving board has a mass of 26 kg. Find the force on the support A when a 69 kg diver stands at the end of the diving board. E 09 m + 3.6 m A
- 2. Use the equilibrium conditions to find the weights w1, w2, and w; required to balance the mobile. Hint: start from the bottom rung and apply the conditions for equilibrium, then work your way up. 4 cm 8 cm 5 cm 1 cm W3 2 cm 4 cm w2 W1 0.5 NAn archer's bow is drawn at its midpoint until the tension in the string is 0.866 times the force exerted by the archer. What is the angle between the two halves of the string? Number i ! Units ° (degrees)a meter log is a uniform bar of mass m = 77 kg. You want to support it at a rest parallel to the ground. so you place it on a triangle support at 33 cm mark and tie it with a rope on the ground at the 28 cm mark. A) draw your own configuration out. calculate the tension of the rope ____ N, downward, upward, right, left, or none and support force provided by the triangle support _______ N, downward, upward, right, left, or none b) suppose a gumdrop (point mass mb = 14.00 kg) hangs on to the meter log at the 91 cm mark How large will the tension be on the rope? ______ N conceptually explain why it should increase, decrease, or stay the same, compared to part A. C) Now with everything including the gumdrop, the triangle support has been moved away from the rope, to the end of the meter log.Explain why the system itself cannot stay balanced anymore, and the rope goes (T→0). Calculate: rotational inertia of the system below. I = _______ kg·m2Calculate the sizes (+ only) of both the…
- 1. A 160kg utility pole extends 12.0m above the ground. A horizontal force of 250N acts at its top and the pole is held in the vertical position by a cable. a. Draw a free-body (or force) diagram for the pole. b. Determine the tension in the cable. c. What are the reaction forces exerted at the lower end of the pole by the ground? 2. A 40.0kg uniform platform is suspended by two cables, 2.00m apart, where the centre of the platform lies midway between the cables. A 5.00kg paint bucket is placed on the platform, 24.0cm to the right of the right cable. Determine the tension in each cable.A 12 000-N shark is supported by a rope attached to a 4.60-m rod that can pivot at the base. (a) Calculate the tension in the cable between the rod and the wall, assuming the cable is holding the system in the position shown in the figure. (Give you answer to three significant digits.) b) Find the horizontal force exerted on the base of the rod magnitude ------- N c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod. magnitude ------ Na meter log is a uniform bar of mass m = 77 kg. You want to support it at a rest parallel to the ground. so you place it on a triangle support at 33 cm mark and tie it with a rope on the ground at the 28 cm mark. A) draw your own configuration out. calculate the tension of the rope ____ N, downward, upward, right, left, or none and support force provided by the triangle support _______ N, downward, upward, right, left, or none b) suppose a gumdrop (point mass mb = 14.00 kg) hangs on to the meter log at the 91 cm mark How large will the tension be on the rope? ______ N conceptually explain why it should increase, decrease, or stay the same, compared to part A. C) Now with everything including the gumdrop, the triangle support has been moved away from the rope, to the end of the meter log.Explain why the system itself cannot stay balanced anymore, and the rope goes (T→0). Calculate: rotational inertia of the system below. I = _______ kg·m2Calculate the sizes (+ only) of both the…