A slender, uniform metal rod of mass M and length l is pivoted without friction about an axisthrough its midpoint and perpendicular to the rod. A horizontalspring, assumed massless and with force constant k, is attached to the lower end of the rod, withthe other end of the spring attached to a rigid support.(a) We start by analyzing the torques acting on the rod when it isdeflected by a small angle theta from the vertical. Considerfirst the torque due to gravity. Which of the following statementsmost accurately describes the effect of gravity on the rod?a. Under theaction of gravity alone the rod would move to a horizontalposition. But for small deflections from the vertical the torquedue to gravity is sufficiently small to be ignored. b. Under theaction of gravity alone the rod would move to a vertical position. But for small deflections from the vertical the restoring force dueto gravity is sufficiently small to be ignored. c. There is notorque due to gravity on the rod.(b) Find the torque Ï due to the spring. Assume that θ is small enough that the spring remains effectively horizontal and you can approximate sin(θ)âθ (and cos(θ)â1 ).Express the torque as a function oftheta and other parameters ofthe problem.(c) What is the angular frequency omega of oscillations of the rod?Express the angular frequency interms of parameters given in the introduction.
Answers: 2
Physics, 21.06.2019 23:30, haileysolis5
After a big snowfall, you take your favorite rocket-powered sled out to a wide field. the field is 195 m across, and you know that your sled accelerates at a rate of 3.65 m/s2 when the rocket is on. how much time will it take the sled to cross the field starting from rest, assuming the rocket is on the whole time?
Answers: 1
Physics, 22.06.2019 12:00, JvGaming2001
In a set amount of time, a battery supplies 25j of energy to an electric circuit that includes two different loads. one of the loads produces 10 j of heat energy during this time interval. how much heat energy is produced by the second load in this time? explain your answer
Answers: 3
Physics, 22.06.2019 16:00, LikeIke2859
In which of the following is positive work done by a person on a suitcase
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A slender, uniform metal rod of mass M and length l is pivoted without friction about an axisthrough...
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