A vertical support rod is fixed at the center of a platform. A light string of length L is attached to the top of the support rod, and the other end of the string is attached to a sphere of mass m, as shown above. The platform rotates with an angular speed that can be varied. When the platform rotates with a constant angular speed ω (omega), the string makes an angle θ (theta) with the rod.
(a) The platform rotates with a constant angular speed. Which of the above graphs correctly shows the magnitude of the net force exerted on the sphere as a function of time t ? Briefly justify your answer.
(b) Is the magnitude of the tension in the string greater than, less than, or equal to the centripetal force exerted on the sphere? Explain your reasoning.
(c) The string is nearly vertical when the sphere’s tangential speed is very small. Without writing any equations or formulas, explain why.
(d) A student derives an equation for the square of the tangential speed v of the sphere as a function of θ:v2=gL(tanθ)(sinθ). Indicate whether the equation is consistent with the statement in part (c) and explain why.
(e) In a series of experimental trials, a group of students adjusts v and measures θ while keeping all other variables constant. They record v and θ for each trial. If the students use the equation given in part (d), what quantities could they graph to yield a straight line whose slope could be used to find the acceleration due to gravity, g ?
(f) Let I be the rotational inertia of the sphere-rod-platform system about a vertical axis through the center of the support rod. Does I increase, decrease, or stay the same when θ decreases? Briefly explain your reasoning.
Answers
Answer:
So Sorry
Sorry Idk the answer
gud morning
Answer:
Support Rod Platform A vertical support rod is fixed at the center of a platform. A light string of length L is attached to t
Show transcribed image text
Expert Answer
Previous question
Next question
Transcribed Image Textfrom this Question
Support Rod Platform A vertical support rod is fixed at the center of a platform. A light string of length L is attached to the top of the support rod, and the other end of the string is attached to a sphere of mass m, as shown above. The platform rotates with an angular speed that can be varied. When the platform rotates with a constant angular speed (omega), the string makes an angle (theta) with the rod. Momentum Angular Angular Momentum Graph A Graph B (a) The platform rotates with a constant angular speed. Which of the above graphs correctly shows the magnitude of the angular momentum of the platform as a function of time t about a vertical axis at the center of the support rod? Briefly justify your answer. (b) The platform rotates with a constant angular speed. Is the net torque exerted on the platform about its center clockwise, counterclockwise, or zero? Explain your reasoning (e) As the period of rotation becomes very small, what value does 8 approach? Without writing any equations or formulas, justify your answer. (d) A student derives an equation for the square of the period of revolution T of the sphere as a function of e: T2 = (4722) Leo88. Indicate whether this equation is consistent with your answer in part (c) and explain why. (e) In a series of experimental trials, a group of students changes L and adjusts to keep constant. They record Land T for each trial. If the students use the equation given in part (d), what quantities could they graph to yield a straight line whose slope could be used to find the acceleration due to gravity, g? (1) As the angular speed of the platform increases, does the period of revolution of the sphere increase decrease, or stay the same? Briefly explain your reasoning.
Explanation:
please mark me as brainlist