8. An air puck of mass m, = 2.50 kg is tied to a string and allowed to revolve in a circle of radiusR = 1.50 m on a frictionless horizontal table. There is an unknown suspended mass m2 whichremains in equilibrium which the puck revolves on the table.'the puck travels 15 revolutions in 10 seconds, find the mass m2.Suppose that another mass is attached to the suspended mass m2 so that thesystem is no longer under equilibrium. When the string is pulled 15.0 cm through the holea.b.in the frictionless table, determine the work done on the puck.тyт2

Given information: Here, m1 is the puck’s mass and R is the radius of the circle in which the puck…

Answered: 8. An air puck of mass m, = 2.50 kg is…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 27P: An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R...

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An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R = 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 1.0 kg is tied to it (Fig. P7.27). The suspended mass remains in equilibrium while the puck on the tabletop revolves, (a) What is the tension in the string? (b) What is the horizontal force acting on the puck? (c) What is the speed of the puck? Figure P7.27
Suppose a piece of dust has fallen on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)
A cat dozes on a stationary merry-go-round, at a radius of 4.9 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.8 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding?
A marble with mass m = 12 g at the end of a massless cord is swaying in a circle of radius R = 1.16 m with and angular velocity ω = 11 rad/s. a. Write an expression for the velocity v of the marble b. Calculate the velocity of the marble, v, in m/s c. In order to travel in a circle, the direction the marbles path must constantly be changing (curving inward). This constant change in direction towatds the center of the circle is a center pointing acceleration called centripetal acceleration ac. Write an expression for the centripetal acceleration ac of the marble in terms of the linear velocity. d. Calculate the centripetal acceleration of the marble, ac, in m/s2
You are at a playground with a merry-go-round, which is initially sitting still. You push on it, causing it to accelerate in the angle at a rate of 1.2 rad/s2. If you push for 3 seconds How many radians will the merry-go-round have turned through during that time?
A 5.00-kg particle starts from the origin at time zero. Its velocityasa functionoftimeisgivenbyv = (6t 2i+ 2t j) where v is in meters per second and t is in seconds. (a) Find its position vector r as a function of time (b) its acceleration as a function of time,(c) the net force exerted on the particle as a function of time, (d) the net torque about the origin exerted on the particle as a function of time,(e)the angular momentum of the particle as a function of time,(f)the kinetic energy of the particle as a function of time, and (h)the power injected into the system of the particle as a function of time. Hint: (a) v = dr/dt and dr = vdt, r =òvdt (integrate v and get r),(b) a=dv/dt, © F=ma,(d) t = r x F (cross product) (e) L= r x mv(cross product) (f) KE=(1/2)mv2(Square v vector to get v2,i2 =j2 =1),(g) Power = first derivative of KE
A body is being spun by a piece of string in a horizontal circle of radius 2.50 mon a flat, frictionless surface. It spins at a rate of 3.5 rev/s. If the tension in the string is 3.0 kN, what is the mass of thebody (in kg) being spun? answer: 2.5kg
A man stands on a merry-go-round that is rotating at 2.13 rad/s. If the coefficient of static friction between the man's shoes and the merry-go-round is ?s = 0.63, how far from the axis of rotation can he stand without sliding? (Enter the maximum distance in meters.) m
A student ties a 530.0 g rock to a 1.75 m-long string and swings it around her head in a horizontal circle. At what angular speed (in rev/min) does the string tilt down at a 16.0° angle, assuming that the local acceleration due to gravity is -9.80 m/s2?
In a game of pool, ball A is rolling without slipping with a velocity V0 as it hits obliquely ball B , which is at rest. Denoting by r the radius of each ball and by μk the coefficient of kinetic friction between a ball and the table, and assuming perfectly elastic impact, determine (a ) the linear and angular velocity of each ball immediately after the impact, (b ) the velocity of ball B after it has started rolling uniformly.
Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 39.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.20 107 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 1024 kg and its radius is 6.38 106 m.)
two blocks, of mass m1 = 400 g and m2 = 600 g, areconnected by a massless cord that is wrapped around a uniform diskof mass M= 500 g and radius R=12.0 cm.The disk can rotate withoutfriction about a fixed horizontal axis through its center; the cordcannot slip on the disk.The system is released from rest. Find (a) themagnitude of the acceleration of the blocks, (b) the tension T1 in thecord at the left, and (c) the tension T2 in the cord at the right.

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