2. An object of mass m motion is described as damped simple harmonic motion. The object is now un...
1. Newton’s Laws and damped simple harmonic motion A particle of mass m = 5 moves in a straight line on a horizontal surface. It is subject to the following forces: an attractive force in the direction of the fixed origin O with magnitude 40 times the instantaneous distance from O a damping force due to friction which is 20 times the instantaneous speed the force due to gravity the normal force. The particle starts from rest at a distance...
Question 4 A viscously damped SDOF system oscillates at a simple harmonic motion given by x(t)-X sin(wdt) meters, where the amplitude is 0.2 meters. For the following parameters: Mass 7 kg; Damping constant 6 N-sec/m; Stiffness = 916 N/m. Find The damped frequency
An object with mass 2.3 kg is executing simple harmonic motion, attached to a spring with spring constant 270 N/m . When the object is 0.015 mfrom its equilibrium position, it is moving with a speed of 0.65 m/s . A) Calculate the amplitude of the motion. B) Calculate the maximum speed attained by the object.
An object attached to a spring vibrates with simple harmonic motion as described by the figure below. * (cm) 2.00 1.00 HA 0. 003 4 -1.00 -2.00 (a) For this motion, find the amplitude. cm (b) For this motion, find the period. S (c) For this motion, find the angular frequency. rad/s (d) For this motion, find the maximum speed. cm/s (e) For this motion, find the maximum acceleration. cm/s2
An object with mass 3.0 kg is executing simple harmonic motion, attached to a spring with spring constant 290 N/m . When the object is 0.016 m from its equilibrium position, it is moving with a speed of 0.50 m/s . a) Calculate the amplitude of the motion. Express your answer to two significant figures and include the appropriate units. b) Calculate the maximum speed attained by the object. Express your answer to two significant figures and include the appropriate...
1. Give two examples whose motion is described by simple harmonic motion. (Besides mass-spring system) 2. The equation of motion for a mass of 100g in a mass-spring system is 2nt x(t) = 3Cos(f 3 Find the value of spring constant k.
Problem 4. The Fast Decay of Critically Damped Simple Harmonic Oscillator. A simple harmonic oscillator (a box with mass m attached to a Hook's spring of coefficient k with linear air friction of coefficient n) is described by mx"(t) + n2'(t) + ku(t) = 0 where m, n, k > 0. (a) Write down the solutions for three cases and their long term limits 1. Overdamped: when friction is strong 1 > 4mk 2. Underdamped: when friction is weak 72...
1. A simple harmonic motion of an object of mass m = 11 kg attached with a spring is represented as time vs displacement graph in the following figure. Find the following parameters. (a) Amplitude = (b) Time Period = ( time for 1 wavelength distance) (c) Frequency = (d) Spring Constant = (e) Angular frequency = (f) Maximum Potential Energy stored in the spring (g) Maximum Kinetic Energy of the block (h) total energy of the spring -block system
1. A simple harmonic motion of an object of mass m = 11 kg attached with a spring is represented as time vs displacement graph in the following figure. Find the following parameters. ТАЛААР (a) Amplitude = (b) Time Period =( time for 1 wavelength distance) (c) Frequency = (d) Spring Constant = (e) Angular frequency = (1) Maximum Potential Energy stored in the spring (g) Maximum Kinetic Energy of the block (h) total energy of the spring -block system
1. A simple harmonic motion of an object of mass m = 11 kg attached with a spring is represented as time vs displacement graph in the following figure. Find the following parameters. VAAAA (a) Amplitude = (b) Time Period = ( time for 1 wavelength distance) (c) Frequency = (d) Spring Constant = (e) Angular frequency = (f) Maximum Potential Energy stored in the spring (g) Maximum Kinetic Energy of the block (h) total energy of the spring -block...