A 1.05 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.495 m at a rate of 1.96 revolutions per second?

A 1.05 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.495 m at a rate of 1.96 revolutions per second?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.45P

See similar textbooks

Similar questions

A 1.05 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.495 m at a rate of 1.96 revolutions per second?
A 1.01 kg mass is attached to a spring of force constant 10.4 N/cm and placed on a frictionless surface.By how much will the spring stretch if the mass moves along a circular path of radius 0.520 m at a rate of 1.82 revolutions per second?
A solid sphere, made of acrylic plastic with a density of 1.1 g/cm3,1.1 g/cm3, has a radius of 5.0 cm.5.0 cm. A very small "eyelet" is screwed into the surface of the sphere and a horizontal support rod is passed through the eyelet, allowing the sphere to pivot around this fixed axis, as shown in the figure. If the sphere is displaced slightly from equilibrium on the surface of Earth, determine the period ?T of its harmonic motion when it is released.
Suppose the length L of a uniform bar is 3.20 m and its mass M =15.2 Kg. Also, m1 = 11.4 kg, m2 = 24.8 kg, m3 = 17.3 kg, and the angle θ = 32 ̊. The distance from wall to the center of mass of m1 is 1.02 m, m2 is 2.10 m, and m3 is 3.20 m. What is the tension in the wire?
Consider a person along with a frame of reference in each of the following situations. In which one or more of the following situations is the frameof reference an inertial frame of reference? (a) The person is oscillating insimple harmonic motion at the end of a bungee cord. (b) The person is in acar going around a circular curve at a constant speed. (c) The person is ina plane that is landing on an aircraft carrier. (d) The person is in the spaceshuttle during lift-off . (e) None of the above.
One end of a light spring with force constant k=100 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the figure 15.61, the string changes from horizontal to vertical as it passes over a solid pulley of mass M in the shape of a solid disk of radius R=2.00 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of the string supports an object of mass m=200 g. The string does not slip at its contact with the pulley. The object is pulled downward a small distance and released. (a) What is the angular frequency ω of oscillation of the object in terms of the mass M? (b) What is the highest possible value of the angular frequency of oscillation of the object? (c) What is the highest possible value of the angular frequency of oscillation of the object if the pulley radius is doubled to R=4.00 cm?
The continuity equation is an expressiom of a.Conservation of mass b.Conservation of energy c.Conservation of angular momentum d.Conservation of momentum Which of the ff. statements is NOT true about acceleration?a.Acceleration is uniform for straight line motion. b.For circular motion, acceleration is constant in magnitude and direction c.Acceleration is uniform if the velocity changes by equal amount in equal time d.The average acceleration cannot be used in precise calculations unless the acceleration is uniform Tensile and compressive stress are caused by forces ________ to the area on which they act a.Perpendicular b.Angled c.Parallel d.Skew
A 3 kg object attached to an ideal massless spring is compressed 1.2 m. If the spring constant is 45 N/m, find the magnitude of the spring force.
A 250 g mass on a vertical spring oscillates at a frequency of 1.0 Hz. If a 500 g mass were instead suspended from the same spring, what would be the frequency of oscillation?
A 40 kg child sits on the edge of a carnival ride at a radius of 4 m. The ride makes 3 revolutions in 6 s. question: The period of revolution for this ride is a. ½ rev/s b. ½ s c. 2 rev/s d. 2 s e. 4 s
A small ball is attached to one end of a spring that has an unstrained length of 0.212 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 2.88 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0160 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?
a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.040 kg, the string has length L =0.90 m and negligible mass, and the bob follows a circular path of circumference 0.94 m.What are (a) the tension in the string and (b) the period of the motion?