Question 6 The cable stays AB and AD help support pole AC. Knowing that the tension in AB is 240 lbs and the tension in AD is 80 lbs, determine the magnitude and direction of their resultant force. Let x1 = 6 m, x2 = 4 m, and y = 8 m. %3D
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- You set up a Halloween prank by attaching a small board to a hinge above your front door. The far end of the board is held up by a cable that can be released by remote control. You place a spooky spider on the board that is dropped on unsuspecting trick-or-treaters when you release the cable. The drawing below shows the set-up. cable 40° Hinge 60 ст You use a board that is 60 cm long and the cable makes an angle of 40 degrees with the board when the board is held horizontally. You place the spider a distance of r = 37 cm from the hinge. The board has a mass of 2.2 kg and the spider has a mass of 1.6 kg. The hinge applies both a horizontal force and a vertical force. You will be asked to determine the direction of both of these forces (left, right, up, down). What is the magnitude of the tension in the cable in Newtons? T = What is the magnitude and direction of the horizontal force from the hinge? Enter a positive number for the magnitude. Fh = Direction ---Select--- What is the…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?In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.356 m? The wheel's radius is r = 0.662 m and its mass is m = 1.71 kg. %3D Number i Units
- Problem 6: If cable AB is subject to a tension of 700 N, determine the tension in cables AC and AD and the magnitude of the vertical force F. 3m 6 m- 6 m 3 m B 2 m- 2m 1.5 m3. A thin rod is free to rotate without friction about a fixed axis at Point A. The other end (Point B) is attached to a (massless) cable at an angle of 45° relative to the rod. a. Initially the rod is being held stationary in a horizontal position. What is the force, F, in the cable? What are the forces that the support is putting on the rod at Point A? Thin Rod m= 18 kg L=3m W₁ = 0 α1 = 0 Thin Rod m= 18 kg L=3m F₁ = ? a₂ = ? 45° b. The force, F, is suddenly changed to 200 N. What is the angular acceleration of the rod just after the force is changed? What are the forces that the support is putting on the rod at Point A now? = 200 N 45° B W₂ = 0 BA mass in translational equilibrium experiences 3 forces. Select the case that most fully and accurately describes the scenario. I. The magnitudes of the 3 forces are equivalent. II. The angles between the 3 vectors are 120 degrees. III. The vector sum of the 3 forces equals 0N. IV. All 3 forces are parallel. A. III only B. I only C. I and III only D. IV only E. II and III only