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A physical pendulum is a body or mass suspended from a rotation
point as shown in the figure. The gravitational force acts on the
body at the center of gravity.
where distance from
pivot point to centre of mass of pendulum.
I is Moment of Inertia.
m is mass.
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In class, I have finished except for the last step in deriving a general expression for the angular frequency ω for a physical pendulum. Given that the moment of inertia is I , the mass of the physical pendulum m and the distance from the pivot point to the centre of mass of the physical pendulum to be dcm , the expression you obtained for ω is?
In class, I have finished except for the last step in deriving a general expression or the angular requency ω for a physica pe dul Given that the moment fine ais mass of the physical pendulum m and the distance from the pivot point to the centre of mass of the physical pendulum to be dem, the expression you obtained for is he I/mgdcm I/mgdcm mgdcm/ mgI/dcm gldcm
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A 0.400 kg mass is attached to a horizontal spring and oscillates such that its position vs. time plot is given below x m) 1.0 0.5 0.0 t(s) -0.5 (a) What is the period of motion? (b) What is the angular frequency? rad/s (c) What is the spring constant of the spring? PN/I (d) What is the fastest speed the mass...
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A uniform rod of mass m = 10 kg has length L = 65 cm . Instead of pivoting it at its end, we pivoted it at L/3 from the end as shown in the figure, we now set the rod into small angle oscillations. What is the period of the oscillation given that the moment of inertia about the pivot...
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One type of cuckoo clock keeps time by having a mass bouncing on a spring. What spring constant is needed to produce a period of 0.500 s for a 0.0220 kg mass? N/m
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A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described byx-(6.7 cm) cos [2t/(0.76 s)]. (Where applicable, indicate the direction with the sign of your answer. Assume the mass is initially stretched in the positive...
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Consider a mass oscillating on a horizontal spring on a frictionless surface about the origin. If at t- 0, the mass is moving through the origin in the positive x direction, which of the following could be the v(t) for the mas vim/s m/s) vim/s) t( s) .510 15 2 t(s) t(s) -1 -1 O-2 vim/s vm/s vim/s) t( s) 2.0...
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Question 5 A particle of mass m rests on a smooth horizontal track. It is connected by two springs to fixed points at A and B, which are a distance 2lo apart as shown in Figure Q5. The left-hand spring has natural length 2lo and stiffness k, whilst the right-hand...
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Question 7 Implement the following: A reel consists of two solid uniform circular discs, each of mass m and radius 2R, attached to two ends of a solid uniform cylindrical axle of mass m and radius R. The reel stands on a rough horizontal table. A light inextensible string has...
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Question 4 A particle of mass m is moving in a horizontal plane in a circle of radius R, with angular velocity 6, anti-clockwise given by é t+cos(2t) Implement plane polar unit vectors er and ee, in the horizontal plane, and k in the vertical direction, giving a right-handed coordinate...