4. Using the mks units (meters-kilograms-seconds), suppose you
have a spring with spring constant
4 N/m. You want to use it to weigh items. Assume no friction. You
place the mass on the spring
and put it in motion. a) You count and find that the frequency is
0.8 Hz (cycles per second).
What is the mass? b) Find a formula for the mass m given the
frequency ω in Hz.
4. Using the mks units (meters-kilograms-seconds), suppose you have a spring with spring constant 4 N/m....
(1 point) Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and the other end attached to a mass. You want to use the spring to weigh items. You put the spring into motion and find the frequency to be 0.9 Hz (cycles per second). What is the mass? Assume there is no friction. Mass = help (units)
A ball of mass m oscillates on a spring with spring constant k = 200 N/m . The ball's position is described by x=(0.360 m )cos( 16.0 t), with t measured in seconds. A) What is the amplitude of the ball's motion? 0.180 m 16.0 m 8.00 m 0.360 m 0.720 m Part B What is the frequency of the ball's motion? 5.44 Hz 16.0 Hz 6.28 Hz 0.360 Hz 2.55 Hz Part C What is the value of the...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
please solve both. thank you! A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes simple harmonic motion with its position given as a function of time by y(t) = A cos(wt - φ). The positive y-axis...
Ažkg mass is attached to a spring with stiffness 60 N/m. The damping constant for the system is 4 N-sec'm. If the mass is moved a m to the left of equilibrium and given an initial leftward velocity of 19 2 m/sec determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency What is the equation of motion? y(t) = 1 (Type an exact answer, using radicals as needed.) The damping factor is The...
In a hurry to digest this . Tks for the help (thumb up) 2. A mass of m kilograms (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixed to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The...
An object of mass M = 4.00 kg is attached to a spring with spring constant k = 1100 N/m whose unstretched length is L = 0.170 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s. Given the angular speed of ω = 5.00 radians/s , find the radius...
An object of mass M = 4.00 kg is attached to a spring with spring constant k = 1100 N/m whose unstretched length is L = 0.170 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s. Given the angular speed of ω = 5.00 radians/s , find the radius...