Learning Materials
Features
Discover
Chapter 15: Q29P (page 437)
Find the mechanical energy of a block鈥搒pring system having a spring constant 1.3 N/ cmofand oscillation amplitude of 2.4cm.
The mechanical energy of the block-spring system is
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
A 2.0 kgblock executes SHM while attached to a horizontal spring of spring constant 200 N/m.The maximum speed of the block as it slides on a horizontal frictionless surface is 3.0 m/s. What are (a) the amplitude of the block鈥檚 motion, (b) the magnitude of its maximum acceleration, and (c) the magnitude of its minimum acceleration? (d) How long does the block take to complete 7.0cycles of its motion?
You are to build the oscillation transfer device shown in Fig.15-27. It consists of two spring鈥揵lock systems hanging from a flexible rod. When the spring of system is stretched and then released, the resulting SHM of system at frequency oscillates the rod. The rod then exerts a driving force on system 2, at the same frequency . You can choose from four springs with spring constants k of 1600,1500,1400, and 1200 N/m, and four blocks with masses m of 800,500,400, and 200 kg. Mentally determine which spring should go with which block in each of the two systems to maximize the amplitude of oscillations in system 2.
A simple harmonic oscillator consists of a block attached to a spring with k=200 N/m. The block slides on a frictionless surface, with an equilibrium point x=0and amplitude 0.20 m. A graph of the block鈥檚 velocity v as a function of time t is shown in Fig. 15-60. The horizontal scale is set by. What are (a) the period of the SHM, (b) the block鈥檚 mass, (c) its displacement at, (d) its acceleration at, and (e) its maximum kinetic energy.
The center of oscillation of a physical pendulum has this interesting property: If an impulse (assumed horizontal and in the plane of oscillation) acts at the center of oscillation, no oscillations are felt at the point of support. Baseball players (and players of many other sports) know that unless the ball hits the bat at this point (called the 鈥渟weet spot鈥� by athletes), the oscillations due to the impact will sting their hands. To prove this property, let the stick in Fig. simulate a baseball bat. Suppose that a horizontal force (due to impact with the ball) acts toward the right at P, the center of oscillation. The batter is assumed to hold the bat at O, the pivot point of the stick. (a) What acceleration does the point O undergo as a result of? (b) What angular acceleration is produced by about the center of mass of the stick? (c) As a result of the angular acceleration in (b), what linear acceleration does point O undergo? (d) Considering the magnitudes and directions of the accelerations in (a) and (c), convince yourself that P is indeed the 鈥渟weet spot.
In Fig. , two springs are joined and connected to a block of mass 0.245 kgthat is set oscillating over a frictionless floor. The springs each have spring constant . What is the frequency of the oscillations?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine