A 1.00-kg glider attached to a spring with a force constant 36.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x=-3.40 cm (that is, the spring is compressed by 3.40 cm).(a) Find the period of the glider's motion.1.05S(b) Find the maximum values of its speed and acceleration.speed0.204acceleration 1.224m/sm/s²(c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s², and t is in s. Use the following as necessary: t.)x(t)=0.0304 cos2πt1.05+π2π1.05v(t)=-0.0340 sin(2π1.05+π2πa(t) -0.03412πt+π1.051.05×

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Answered: A 1.00-kg glider attached to a spring…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 10P: A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a...

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A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = 3.00 cm (that is, the spring is compressed by 3.00 cm). Find (a) the period of the gliders motion, (b) the maximum values of its speed and acceleration, and (c) the position, velocity, and acceleration as functions of time.
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
A simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.
A blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.
An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is measured and recorded as T. The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion? (a) 2T (b) 2T (c) T (d) T/2 (e) T/2
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For each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3
A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -3.40 cm (that is, the spring is compressed by 3.40 cm). (a) Find the period of the glider's motion. (b) Find the maximum values of its speed and acceleration. speed m/s m/s2 acceleration (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s², and t is in s. Use the following as necessary: t.) x(t) = v(t) = a(t) =
A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -3.10 cm (that is, the spring is compressed by 3.10 cm). (a) Find the period of the glider's motion. s(b) Find the maximum values of its speed and acceleration. speed m/s acceleration m/s2 (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s2, and t is in s. Use the following as necessary: t.) x(t) = v(t) = a(t) =
A mass of 8.02 kg is placed on a vertical spring. What is the period, in seconds, of a mass-spring system if it has a spring constant of 60.62 N/m?
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A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -2.80 cm (that is, the spring is compressed by 2.80 cm). (a) Find the period of the glider's motion. (b) Find the maximum values of its speed and acceleration. (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s2, and t is in s. Use the following as necessary: t.)

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