In the figure, a 1.32 kg ball is connected by means of two massless strings, each of length L = 1.72 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.72 m and are taut. The tension in the upper string is 57.0 N. What are (a) the tension in the lower string, (b) the magnitude of the net force net on the ball, and (c) the speed of the ball? (a) Number i (b) Number i (c) Number i Units Units Units L Rotating rod
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- The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m. How much tension (in N) does the bird produce in the wire? Ignore the weight of the wireA girl swings a 0.190 kg rock attached to a taut string in a circle around her head; her hand holds the end of the string above her head, and the string angles down slightly. The string is massless and 0.680 m long. A coordinate system lies with its origin at the location where the string comes out of the girl's hand. The positive z-axis points vertically upwards, the positive y- axis points horizontally towards the right, and the positive x-axis points out of the screen. At a certain instant, the rock makes 3.25 revolutions per second (rev/s) in a counterclockwise direction, as seen from above. The string is inclined at an angle of 0 = 12.4° below the xy-plane, and the projection of the string onto the xy- plane makes an angle o = 36.8° with the positive x-axis. What is the tangential velocity vector v in meters per second (m/s) at this instant? Report your answer using ijk unit vector notation. i = v, i + vyj+ vz k m/sa 1.34 kg ball is connected by means of two massless strings, each of length L = 1.70 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.70 m and are taut. The tension in the upper string is 35 N. What are the (a) tension in the lower string, (b) magnitude of the net force on the ball, and (c) speed of the ball? (d) What is the direction of the net force?
- A 4 kg block is sliding down a vertical wall while being pushed by an external force as shown in the figure. What magnitude of the external force (in N) would be required for the block to move down the wall at constant speed if the coefficient of kinetic friction between the wall and the block is u = 0.20? 4 kg 六F 300 36.98A 2.00 kg aluminum block and a 6.00 kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle θ=30.0∘θ=30.0∘) with the aluminum block on the flat of the wedge and the copper block on the angled part. Determine (a) the acceleration of the two blocks and (b) the tension in the string.A 4.15 kg4.15 kg box is suspended from a system of massless wires attached to a ceiling. The first wire makes an angle of ?1=63.0∘θ1=63.0∘ with the ceiling, whereas the second wire makes an angle of ?2=41.5∘θ2=41.5∘ with the ceiling. Determine the magnitudes of the tensions in the first and second wires, ?1T1 and ?2,T2, respectively.
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- A sailor is being rescued using a boatswain’s chair that is suspended from a pulley that can roll freely on the support cable ACB and is pulled at a constant speed by cable CD . Knowing that a = 30° and β = 10° and that the combined weight of the boatswain’s chair and the sailor is 200 lb, determine the tension (a) in the support cable ACB, (b) in the traction cable CD.The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 88.2 N on the wall to which it is attached. The tensions in the shorter cords are T₁ = 69.1 N, T₂ = 40.5 N. and T3 = 6.76 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units