A 15m ladder is placed against a wall such that the base of the ladder is 8m away from the wall. At what angle does the ladder make with the ground?
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Question 49 A 15m ladder is placed against a wall such that the base of the ladder is 8m away from the wall. At what angle does the ladder make with the ground?
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- A 12m long post is bolted to the wall on its left end. It's right end is held horizontal by a wire that is attached to the wall, making a 35° angle with the post. If the post is 13kg what is the tension in the wire?The leaning Tower of Pisa is 59.1 m high and 7.44 m in diameter. The top of the tower is displaced 4.01 m from the vertical.Treat the tower as a uniform, circular cylinder. (a) What additional displacement, measured at the top, would bring the tower to the verge of toppling? (b) What angle would the tower then make with the vertical?A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 110-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) A rectangular sign hangs along the bottom of a rod connected to a hinge on a wall on its left. A cable with tension T at the right end of the rod connects to the wall above the hinge and makes a 30.0° angle with the vertical. The right end of the sign is at the right end of the rod.(a) Find the (magnitude of the) tension T in the cable. N (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.)
- 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° 13 Hinge 60 cm 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 = 40 cm from the hinge. The board has a mass of 3.1 kg and the spider has a mass of 1.3 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 = N What is the magnitude and direction of the horizontal force from the hinge? Enter a positive number for the magnitude. Fh= N Direction ---Select--- What is the…A 67.0 kg adult sits at one end of a 10.0 m board, on the other end of which sits his 23.0 kg child. Where should the pivot be placed so the board is balanced if the board has a mass of 12.0 kg? (The board’s center of gravity is at the center of the board.)2. A boy weighting 600 N sits 2.5 m from the center of the see-saw. If his friend weighs 750 N, how far from the center should his friend sit so that the see-saw balances?
- A sign for a pizza restaurant hangs from a 2.60-m long rod extended out from a building. A cable, attached to the building, is attached to the rod at a point that is 2.10 m from the hidge. (See the figure.)The mass of the rod is 6.50 kg. The mass of the sign is 9.40 kg. The angle between the building and the rod is 73.0 degrees. The angle between the cable and the horizontal is 30.0 degrees.What is the torque on the rod due to the weight of the sign alone? [Take the axis to be at the hinge.]3. Bob and Tom are on opposite sides of a 12 foot see-saw (teeter totter). Bob weight’s 96.6 pounds.The see-saw weight 75 pounds. Bob is sitting 1.5 feet from the left end of the see-saw. Tom is sitting 2 feet from the right end of the see-saw. The pivot for the see-saw is 6 feet from the left end. The see-saw is in balance horizontally. What is Tom’s weight?A uniform rod weighing 15 kg is supported in a horizontal position by a pin and wire as shown in the figure. What is the magnitude of the tension in the wire?
- A 400-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 120-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) (a) Find the (magnitude of the) tension T in the cable.=_______N (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) HORIZONTAL COMPONENT= _________N VERTICAL COMPONENT= _________N27) I caught me a big shark, one having a mass of 650 kg. It is held up by a strong pole (solid black in the figure) that makes an angle of 55.0° with the horizontal and an attached cable (light brown in the figure) at its end. The pole is uniform in construction, 4.00 m long, and has a mass of 50.0 kg. The cable makes an angle of 35.0° with the horizontal. Determine the tension in the cable, and the x and y components of the force exerted at the base of the pole. Start off by drawing the Tension T on the cable and the x and y- forces at the base of the pole. 35° 55°Help me