A mass m is suspended from the ceiling by two strings that each make an angle 6 as shown. What is the magnitude of the tension in each cable?
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- A 10 N ball is supported by an incline and a cable making an angle a with the vertical direction. Knowing the force in the cable equal to 5 N, determine the angle a and the force exerted by the ball on the incline. Consider the ball as a particle.One end of a uniform 4.40-m-long rod of weight F is supported by a cable at an angle of 0 = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.465. Determine the minimum distance x from point A at which an additional object, also with the same weight F, can be hung without causing the rod to slip at point A. A 0 B X You will need to work with the equations F net = 0 and 7 = 0 and manipulate the equations symbolically to solve for the distance. m netA uniform 50-kg scaffold of length 7.0 m is supported by two light cables, as shown below. A 61-kg painter stands 1.0 m from the left end of the scaffold, and his paint bucket is 1.5 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the bucket. m bucket = kg T (left) = N T (right) = N
- rigid body staticsA traffic light hangs from a pole as shown. The uniform aluminum pole AB is 7.50 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine A) the tension in the horizontal massless cable CD, and B) the magnitude of the force exerted by the pivot on the aluminum pole at point A. B C D 37° 3.80 m A 000Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the surface of the door. One child pushes with a force of 18.5 N at a distance of 0.625 m from the hinges, and the second child pushes at a distance of 0.47 m. a) What is the magnitude of the force, in newtons, the second child must exert to keep the door from moving? Assume friction is negligible. F2 =
- In the figure, a horizontal scaffold, of length 2.26 m and uniform mass 59.9 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans in 79.9 kg. The tension in the cable at the right is 739 N. How far horizontally from that cable is the center of mass of the system of paint cans? Number i Units mOne end of a uniform 3.70-m-long rod of weight Fg is supported by a cable at an angle of 8 = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μ = 0.535. Determine the minimum distance x from point A at which an additional object, also with the same weight For can be hung without causing the rod to slip at point A. g' 0 BHow do you do this? A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see figure below). The beam is uniform, weighs 200 N, and is 6.00 m long, and it is supported by a wire at an angle of ? = 60.0°. The basket weighs 80.0 N. a) When the bear is at x = 1.00 m, find the tension (in N) in the wire supporting the beam and the components of the force exerted by the wall on the left end of the beam. b) If the wire can withstand a maximum tension of 875 N, what is the maximum distance (in m) the bear can walk before the wire breaks?
- Problem: A 80 kg construction worker is sitting 2.0 m from the right end of a 1450 kg, 6.0 m long beam. What is the tension in the cable attached at an angle of 30 deg. from the beam? (A) Pictorial Representation (B) Physical RepresentationThe image below depicts the Apollo 16 Lunar Module (LM) on the moon's surface. The diagram to the right is a model of one of the four landing gear assemblies. Determine the force supported by members AB, AC, and AD under the assumption that the weight of the LM is uniformly distributed by all four landing gear assemblies. Use Mathematica or an online calculator such as the WolframAlpha 3 Equation System Solver to solve the 3 x 3 system of equations that you will end up with. Z NASA X A (2.5, 2.5, -2.2) m B (1.5, 1.5,0) m C(2, 1,-1.2) m D(1,2,-1.2) m B DA bridge of length 21 m and mass 30000 kg is supported at each end. A truck of mass 20000 kg is located 15 m from the left end. A B 15 m - 21 m What is the force on the bridge at the left point of support? The acceleration of gravity is 9.8 m/s?.