The 2.7-kg pendulum bob moves in the vertical plane with a velocity of 8 m/s when θ = 0∘. Neglect the size of the bob. (A) Determine the initial tension in the cord. Express your answer to three significant figures and include the appropriate units.
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The 2.7-kg pendulum bob moves in the vertical plane with a velocity of 8 m/s when θ = 0∘. Neglect the size of the bob.
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- Imagine you've constructed a pendulum at home and measured the length of the rope and the period. The goal here is to create a graph where the slope corresponds to the gravitational acceleration constant. For that you have to get an X and a Y. First, you have these 2 equations as a starting point: T= 2π/ω and ω= sqrt(g/L). Play with the equations to construct an equation for a linear graph with the form: Y=mX+b where the slope m=g. Identify clearly what X and Y represent. The equation should look like: ? = g(? + ?)=J (e) (b) Fe= () 6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path of radius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore air friction and assume the mass of the light cord is negligible. (a) Calculate the tension T in the cord. = L. (b) Calculate the centripetal force acting on the ball. = 'd (c) Calculate the velocity v of this uniform circular motion. Answers:= A metal bar is in the xy-plane with one end of the bar at the origin. A force F =(9.00 N) î+(5.00 N) ĵ is applied to the bar at the point x = 3.00m, y 4.00m. (a) In terms of unit vectors î and ĵ, what is the position vector r* for the point where the force is applied? (b) What are the magnitude and direction of the torque with respect to the origin produced by F?
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