In the figure, a uniform beam with weight W and length is hinged at its lower end, and a horizontal force of magnitude F acts at its upper end. The beam is held vertical by a cable that makes angle with the ground and is attached to the beam at height h. NOTE: Give your answer in terms of the variables given. (a) What is the tension in the cable? T Fl h cos(0) (b) What is the x-component of the force on the beam from the hinge? = FF-Tcos(0) Fu X = L (c) What is the y-component of the force on the beam from the hinge? Tsin(0) h X
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- The figure a shows a horizontal uniform beam of mass mo and length L that is supported on the left by a hinge attached to a wall and on the right by a cable at angle 0 with the horizontal. A package of mass mp is positioned on the beam at a distance x from the left end. The total mass is mp + mp = 56.5 kg. The figure b gives the tension T in the cable as a function of the package's position given as a fraction x/L of the beam length. The scale of the T axis is set by T₁ = 500 N and Tb = 700 N. Evaluate (a) angle 8, (b) mass mb, and (c) mass mp. (a) Number i (b) Number i (c) Number MI (a) Cable 0 T (N) Z To Tao Units Units Units 0.2 0.4 0.6 0.8 1 x/L (b) <Please help meA uniform ladder 15 ft long is leaning. against a frictionless wall at an angle of 53 \deg above the horizontal. The weight of the ladder is 30 pounds. A 70 lb boy climbs 5.0 - ft up the - ladder. What is the magnitude of the friction force exerted on the ladder by the floor?
- A uniform ladder weighing 490 N rests against a frictioniess wall. The ladder has a length L = 14.0 m and makes a 59.0° angle with the horizontal ground. An 820 N firefighter has climbed d = 4.20 m along the ladder from the bottom. Find the coefficient of static friction Hs between the ladder and the ground. O 0.863 O 0.225 O 0.119 O 0.332 O 0.567A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. (a) What is the y component of the tension in the rope? (b) What is the x component of the tension in the rope? (c) What is the magnitude of the tension in the rope? (a) y component of the tension: Ty = (b) x component of the tension: Tx = (c) What is the magnitude of the tension in the rope?A uniform ladder whose length is 6.0 m and whose weight is 43O N leans against a frictionless vertical wall. The coefficient of static friction between the level ground and the foot of the ladder is 0.42. What is the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping?
- A 355 N uniform ladder of length L= 8.00 m leans against a smooth (frictionless) wal The ladder mnakes an angle of 50.0° angle with the horizontal ground and the force of static friction keeps the ladder from sliding to the left. An 875 N firefighter has climbed d = 6.30 m along the ladder trom the bottom. What is the force of static friction f, between the ladder and the ground? 50.0 O 119 N O 480 N O 727 N O 567 N command eptien35.0° Dinysics Demos SuDDly Co. The pole is held horizontally by a massless wire under 305 N of tension, connected at a 35° angle. A 8 kg sign hangs from the end of the 4 meter pole. The pole has mass 4 kg. How far away is the wire is attached from the wall? Answer in meters to 3 sig figs.A scaffold of mass 71 kg and length 4.8 mis supported in a horizontal position by a vertical cable at each end. A window washer of mass 64 Kg stands at a point 2.4 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number Units
- The figure below shows a beam of uniform density with a mass of 35.5 kg and a length t5.95 m. It is suspended from a cable at a distance d 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cable? (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? Need Help? Read Page 20A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance ?=0.288 mfrom the rock, which has a mass of 465 kg, and fits one end of the rod under the rock's center of weight. If the homeowner can apply a maximum force of 671 N at the other end of the rod, what is the minimum total length ? of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is ?=9.81 m/s2.A beam is connected to the floor by a hinge. A rope is attached to the other end of the beam. The other end of the rope is connected to the ceiling. There is box sitting on the beam (see figure).The angle between the beam and the floor is 8.60 degrees. The angle between the rope and the horizontal is 20.0 degrees. The beam is 4.00-m long and has a mass of 6.80 kg. The box sits a distance of d = 0.620 m from the upper end of the beam and has a mass of 8.00 kg. The tension in the rope is 205.7 N.What is the horizontal component of the force on the beam due to the hinge?