x (cm) t (ms) -4+ Figure 15-53 Problems 77 and 78. 78 Figure 15-53 gives the position x(t) of a block oscillating in SHM on the end of a spring (t, = 40.0 ms). What are (a) the speed and (b) the magnitude of the radial acceleration of a particle in the corresponding uniform circular motion?

A baby jumper consists of a cloth seat suspended by an elastic cord from the lintel of an open doorway. The unstretched length of the cord is 1.20 m, and the cord stretches by 0.170 m when a baby of mass 6.80 kg is placed into the seat The mother then pulls the seat down by 6.50 cm and releases it What is the period of the motion?

A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 sin (rt + t/3). The velocity (in m/s) of the body at t = 1.0 s is О -14 +8.0 -8.0 O +14 О-5.0

Consider a critically damped oscillator with w=y and mass m that is driven by force Fa cos(wat). ▼ Part A - What is the amplitude of the steady-state oscillation at wa=0? Answer symbolically. You can type y as \gamma. You can type Fa as F_d Ao = Submit IVE ΑΣΦ Fd k Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Wd = Part B - The maximum amplitude of oscillation, Ao, occurs for wa = 0. At what driving frequency does the amplitude equal to Ao/2? Answer symbolically. You can type y as \gamma. You can type Fa as F_d Submit ? IVE ΑΣΦ Request Answer ?

-- A block on a horizontal frictionless surface is connected to an ideal spring (spring constant k) and moves with simple harmonic motion of amplitude A.The magnitudes of the velocity and acceleration of the block are v and a, respectively.Which one of the following expressions is correct? At maximum displacement,  v = 0   and  a = A2 k/m  At the equilibrium position,  v = A√k/m and a =Ak/m      At the equilibrium position,  v = A√k/m  and  a = 0 At maximum displacement,  v = A2 √k/m  and  a = 0 At the equilibrium position,  v = 0   and  a = 0

If the frequency of the motion of a simple harmonic oscillator is increased by a factor of 4, by what factor does the maximum speed of the oscillator change? 1/4 O It does not change. 04 02 O 1/2

Homework 7 Problem 5: A sphere of mass m=3.5 kg can move across a horizontal, frictionless surface. Attached to the sphere is an ideal spring with spring constant k=27 N/m. At time t=0 the sphere is pulled aside from the equilibrium position, x=0, a distance d=12 cm in the positive direction and released from rest. After this time, the system oscillates between x=±d  What is the sphere's distance from equilibrium, in meters, at time t = 1 second? x(1) = ______ m

What is the frequency, in Hertz, of a simple pendulum if it has a length of 3.65 m? Assume that the pendulum is on a planet where the acceleration due to gravity is 12.52 m/s2.

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What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in the figure if the position function x(t) has the form x = xmcos(wt + p)? The vertical axis scale is set by vs = 5.00cm/s. Number 1.57 v (cm/s) -15 Units rad