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A small 2-kg collar C can slide freely on a thin ring of mass 3 kg and radius 250 mm. The ring is welded to a short vertical shaft, which can rotate freely in a fixed bearing. Initially the ring has an angular velocity of 35 rad/s and the collar is at the top of the ring (θ= 0) when it is given a slight nudge. Neglecting the effect of friction, determine
(a) the angular velocity of the ring as the collar passes through the position θ = 90°,
(b) the corresponding velocity of the collar relative to the ring.
A guitar player tunes the fundamental frequency of a guitar string to 300 Hz. (a) What will be the fundamentalfrequency if she then increases the tension in the string by 20%?
What imperfection in the operation of the eye causes farsightedness? What type of lens is used to correct this? What imperfection in the operation of the eye causes nearsightedness? What type of lens is used to correct this?
a 1.50 kg snowball is fired from a cliff 13.0 m high. the snowballs initial velocity of 14.0 ms directed 41.0deg above
The ice maker inside a refrigerator makes ice cubes at 0.0°C from water that is at 13.7°C when it first enters the ice maker. If this machine is rated at 184 W and has a 3.66 coefficient of performance, what is the maximum amount of ice it can pro..
A steel cable with total length 20m and mass 100kg is connected to two poles. The tension in the cable is 2,000N, and the wind makes the cable vibrate with a frequency of 2Hz. Calculate the wavelength of the resulting wave on the cable.
A bead with a mass of 0.085 g and a charge of 20 nC is free to slide on a vertical rod. At the base of the rod is a fixed 20 nC charge. In equilibrium, at what height above the fixed charge does the bead rest?
A barge is hauled along a straight-line section of canal by twohorses harnessed to tow ropes and walking along the tow paths oneither side of the canal. Each horse pulls with a force of480 N at an angle of 14° with the centerline of the canal. What i..
A coin rests 14.0 cm from the center of a turntable. The coefficient of static friction between the coin and turntable surface is 0.440. what is the angular velocity of the turntable
A current loop in a motor has an area of 0.85cm2. It carries a 240 mA current in a uniform field of 0.62 T. What is the magnitude of the maximum torque
q1. a train at rest emits a sound at a frequency of 1045 hz. an observer in a car travels away from the sound source at
a cubical block of side length l has a density dc and floats in a liquid of density dl. the answers should be in terms
Find the minimum mass to replace the block of mass m = 1.03 kg in the figure below, such that the block of mass M = 2.22 kg moves upward.
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