Solution) Amplitude , A = 1.27 cm = 1.27×10^(-2) m
Frequency , f = 2.55 Hz
Maximum speed , V = ?
V = Aw
But w = 2(pi)f = 2(pi)×2.55 = 16.02 rad/s
V = Aw
V = 1.27×10^(-2)×16.02
V = 0.203 m/s
A sewing machine needle moves up and down in simple harmonic motion with an amplitude of...
Problem 1 The point of the needle of a sewing machine moves in simple harmonic motion along the x-axis with a frequency of 2.5 Hz. At 1 = 0 its position and velocity components are +1.1 cm and -15 cm/s, respectively. Find the position, velocity, and acceleration of the needle at 1 = 3.0 s.
A particle moves in simple harmonic motion with a frequency of 3.80 Hz and an amplitude of 5.50 cm. (a) Through what total distance does the particle move during one cycle of its motion? cm (b) What is its maximum speed? cm/s Where does this maximum speed occur? as the particle passes through equilibrium at maximum excursion from equilibrium exactly halfway between equilibrium and maximum excursion none of these (c) Find the maximum acceleration of the particle. m/s^2 Where in...
A person bounces up and down on a
trampoline, while always staying in contact with it. The motion is
simple harmonic motion, and it takes 2.73 s to complete one cycle.
The height of each bounce above the equilibrium position is 45.2
cm. Determine (a) the amplitude and (b) the angular frequency of
the motion. (c) What is the maximum speed attained by the
person?
A 0.05kg particle moves in simple harmonic motion with a frequency of 20.0 Hz and an amplitude of 25.0 cm red 5.00 an (a) Through what total distance does the particle move during five cycle of its motion? (b) What is its maximum speed? Where does that occur? (c) Find the maximum acceleration of the particle. Where does that occur? Please write down the full working and indicate your answers for a) b) c) clearly Paragraph B IEE (a)
As you walk, the upper part of your body moves up and down with approximately simple harmonic motion. The smaller the amplitude of this motion the smaller the force you put on your joints and, of course, the more graceful is your walk. If you managed to develop your walk so that you have kept the amplitude down to 1.60 cm, what is the maximum acceleration of your body, in units of g = 9.80 m/s2, when you are walking at your...
4. A body moves with simple harmonic motion of amplitude 300 mm and period 0.75 sec. Determine the maximum velocity and acceleration
A steel ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.0 cm, and the spring constant is 6.00 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 19.7 cm/s. (a) What is the mass of the ball (in kg)? kg (b) What is the period of oscillation (in s)? s (c) What is the maximum acceleration of the ball? (Enter the...
7. A mass moves back and forth in simple harmonic motion with an amplitude of 0.25 m and a period of 1.2 s. Through what distance does the mass move in 2.4 s?
A 325 g object attached to a horizontal spring moves in simple harmonic motion with a period of 0.220 s. The total mechanical energy of the spring-mass system is 5.26 J. (a) What is the maximum speed of the object (in m/s)? m/s (b) What is the spring constant (in N/m)? N/m (c) What is the amplitude of the motion (in m)? m
Energy in simple harmonic motion A 2.90 kg object oscillates with simple harmonic motion on a spring of force constant 600 N/m. The maximum speed is 0.800 m/s. A) What is the total energy of the object and the spring? B) What is the maximum amplitude of the oscillation?