A floodlight with a mass of 28 kg is used to illuminate the parking lot in front of a library. The floodlight is supported at the end of a horizontal beam that is hinged to a vertical pole, as shown. A cable that makes an angle of 30° with the beam is attached to the pole to help support tie floodlight. Assume the mass of the beam is negligible when compared with the mass of the floodlight. 30° 28 kg Find the force FT provided by the cable. The acceleration of gravity is 9.81 m/s2. Answer in units of N.

A floodlight with a mass of 28 kg is used to illuminate the parking lot in front of a library. The floodlight is supported at the end of a horizontal beam that is hinged to a vertical pole, as shown. A cable that makes an angle of 30° with the beam is attached to the pole to help support tie floodlight. Assume the mass of the beam is negligible when compared with the mass of the floodlight. 30° 28 kg Find the force FT provided by the cable. The acceleration of gravity is 9.81 m/s2. Answer in units of N.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Draw a physical model and associated FBD of the cable supporting a street lamp. Assume that the weight of the cable is negligible compared to the lamp.
A 25.0 kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole, as shown in Figure P8.22. A cable at an angle of 30.0° with the beam helps to support the light. 30,0% Figure P8.221 (a) Find the tension in the cable. N (b) Find the horizontal and vertical forces exerted on the beam by the pole. horizontal N (to the right) vertical N (upward)
In the figure below, both the ceiling and the ruler accelerate together at 1.6 m/s2 in the +y direction, and the reading to the "new" length of the vertical wire is as indicated. Ignore the effect on the two diagonal wires. Other parameters are below: Weight of the pan = 5 N Weights (or loads) = 74 N Originally, the wire has a length 0.200 cm, and diameter of 2.7 cm. Calculate the Young's modulus of the wire in Pa. NOTES: Use pi = 3.14. Final answer in ZERO decimal place. 4.000 4.100 4.200 4.300 cm
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…
The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude kNdirection ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.( î + ĵ)…
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 4.80 kg. The mass of the sign is 7.10 kg. The angle between the building and the rod is 50.0 degrees. The angle between the cable and the horizontal is 38.0 degrees. The tension in the cable is 90.27 N.What is the vertical component of the reaction force from then hinge on the rod?
Please help thank you!
Two children of mass 15 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw.If the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance? r1 =
Jack and Jill want to balance their seesaw. Where should they set the fulcrum? Jack has a mass of 25 kg, Jill has a mass of 15 kg, and the seesaw board has a mass of 20.0 kg.
A rider of mass 78.0-kg sits 1.70 meters left of the pivot point. A different rider sits 3.5 meters to the right of the pivot point. If the see-saw is in equilibrium, what is the rider on the right's mass? The mass of the see-saw is 19.2-kg Give your answer in kilograms to the correct number of significant figures.
Scenario: A heavy kid and a light kid are at the two ends of a see-saw, modeled as a long thin rod with point masses at each end, pivoted at the middle. The see-saw is tilted from horizontal. See-saw end-to-end length: 4.5 meters See-saw mass: 15 kg Heavy kid's mass: 39 kg Light kid's mass: 25 kg Tilt angle: 14 degrees (a) What is the magnitude of the net torque on the see-saw due to gravity, in newton-meters? N m (b) What is the moment of inertia of the two-kid system about the pivot at the center of the see-saw? kg m2 (c) What is the magnitude of the see-saw's angular acceleration at this instant? rad/s?
Aside from protecting the edges and back of the phone, the case needs to be able to protect the front of the phone from impact. What features must the case have in order to absorb impact when the phone is dropped on its face?