Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 15, Problem 25P
GO In Fig. 15-36, a block weighing 14.0 N, which can slide without friction on an incline at angle θ = 40.0°, is connected to the top of the incline by a massless spring of unstretched length 0.450 m and spring constant 120 N/m. (a) How far from the top of the incline is the block’s equilibrium point? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations?
Figure 15-36 Problem 25.
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A block of mass m lies on a flat, frictionless plane against a spring with spring constant k compressed
from its equilibrium position by a distance x. At the other end of the plane is a ramp inclined at an angle
0. The coefficients of friction (both kinetic and static) of the ramp vary with the distance along it as u ()
= Ay, where A is some constant , I the distance from the bottom of the ramp; and y the position in vertical
direction. The system is sketched below.
Spring
Ramp
Frictionless Plane
The block is released and pushed along the frictionless plane by the spring and then moves up the ramp (the
block is not attached to the spring).
Write down an equation from which one calculate the maximum distance I traveled by the block along
the ramp (do not solve for ).
*25 O In Fig. 15-36, a block
weighing 14.0 N, which can slide
without friction on an incline at an-
gle e = 40.0°, is connected to the
top of the incline by a massless
spring of unstretched length 0.450
m and spring constant 120 N/m. (a)
How far from the top of the incline
is the block's equilibrium point? (b)
If the block is pulled slightly down the incline and released, what is
the period of the resulting oscillations?
%3!
Figure 15-36 Problem 25.
A mass of 2kg is attached to a spring of spring constant 50N/m. The block is pulled to a distance of 5cm from its equilibrium position at x=0 on a horizontal frictionless surface from rest at t=0.Write the expression for its displacement at anytime t.
Chapter 15 Solutions
Fundamentals of Physics Extended
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