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In the diagram below, a street light m is hung from a horizonal beam; the beam is supported by a pin at P and by the cable (cord) from the end of the beam to the upper part of the pole. Given that the beam is uniform and has a mass of 108 kg, the angle θ= 35o, x2 = 3.55 m, x1= 2.18 m, and that the mass of the street light is m = 42.7 kg, find the tension in the cable. Use 9.8 m/s2 and express your answer to three significant digits. Use scientific notation. (Suggestion: Draw a free body diagram of the beam and take torques about P.)
Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. How high up is Bob, if the ball started from exactly 2 m above the edge of the cliff
What is the friction force that acts on the bear?
Calculate the absolute pressure at an ocean depth of 750 m. Assume the density of sea water is 1020 kg/m3 and that the air above exerts a pressure of 101.3 kPa.
The Andromeda galaxy is at a distance of 2.1 X 1022 m from our Galaxy. The mass of Andromeda is 6 X 1041 kg and the mass of our Galaxy is 4 X 1041 kg. What is the acceleration of our Galaxy
The karat is a dimensionless unit that is used to indicate the proportion of gold in a gold-containing alloy. What is the volume of gold in a 16.0-karat gold necklace whose weight is 1.15 N
An archer, about to shoot an arrow, is applying a force of +240 Nto a drawn bowstring. What is the displacement ofthe bow string
You want to design a helium-filled balloon that will lift a totalpayload of 1350 kg. What volume of heliumis needed to just barely lift this payload
Two identical mandolin strings under 200 N of tension are sounding tones with frequencies of 523 Hz. How many beats per second are heard
An amusement park ride called the Rotor consists of a room in the shape of a vertical cylinder (1.98 m inradius) which, once the riders are inside, begins to rotate,forcing them to the wall. When the room reaches a speed of onerotation every 1.56 ..
Find the point of no return for an airport runway of 1.45 miles in length if a jet plane can accelerate at 9.8 ft/s2 and decelerate at 6.13 ft/s2. What length of time is available from the start of the motion in which to decide on a course of actio..
A concave mirror ( f = 51 cm) produces an image whose distance from the mirror is one-third the object distance, determine the object distance and the image distance
A 13.9-kg object hangs in equilibrium at the end of a rope (taken as massless) while a wind pushes the object with a 66.5-N horizontal force. determine the rope\'s angle from the vertical
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