Consider the classical mechanical description of a one-dimensional harmonic oscil lator of mass 0.2 kg , with spring constant k 5 n/m, (linear) damping constant b 0.2 ns/m. this oscillator is subject to a sinusoidal driving force of strength f 0.5 n and frequency f 0.5 hz (i irrespective of the initial conditions, after a long time the oscillator will ex- ecute regular sinusoidal oscillations. what will the frequency and amplitude of the oscillator's motion be? what is the phase of these oscillations relative to the driving force? (ii) write down newton's second law for the oscillator. identify all forces acting on the oscillator (assume gravity plays no role). indicate which of these forces are conservative and explain why. for each conservative force give the associated potential energy

For general projectile motion, when the projectile is at the highest point of its trajectory, its acceleration is zero? a)the horizontal and vertical components of its velocity are zero. b) its velocity is perpendicular to the acceleration. c)the horizontal component of its velocity is zero. d)its velocity and acceleration are both zero.

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?

Abookcase has a mass of 38 kg and the coefficient of friction between it and the floor is 0.82 what is the maximum force of friction between the bookcase and the floor a 372n b 305n c 412n d 449n