An ideal mass m is sitting on a plane,attached to a rigid surface via a spring. The spring consta...
A mass m is on a horizontal frictionless surface and is attached to an ideal horizontal spring of spring constant k. The equilibrium position of the free end of the spring is at x = 0. The displacement of the mass by P⃗ begins and ends with the mass at rest.the displacement begins at position xi and ends at position xf. Select all true statements.a) Wp=-Ws b)=integration(kxdx) c)Wp=0 d)Wspring=0 e)Ws= integrate(-kxdx) f)P(x)=kx
Please write legibly Consider an ideal mass-spring-damper system similar to Figure 3.2. Find the damping coefficient of the system if a mass of 380 g is used in combination with a spring with stiffness k = 17 N/m and a period of 0.945 s. If the system is released from rest 5 cm from it's equilibrium point at to = 0 s, find the trajectory of the position of the mass-spring-damper from it's release until t 3s Figure 3.2: Mass-spring-damper...
A seismic instrument (a mass that is attached to a spring and a damper) is used to measure a periodid input signal y(t) 0.8 sin(30n t); y is the displacement [cm], and t is time [sec]. This instrument has a damping ratio 0.7. Choose a combination of mass, spring constant, and damping coefficient to provide less than a 6% dynamic error in the output. A seismic instrument (a mass that is attached to a spring and a damper) is used...
mass weighing W pounds stretches a spring 7 foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double spring as shown in the figure below. (a) A rigid suppont that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a point 1 foot below the equlbrium postion with a downward velocity of...
4. problem 4. The mass m is hanging from a cord attached to the circular homogeneous disc of mass M and radius R ft, and is supported by a damper with damping constant c. Excitation force Focos(ot) applies to the block. The disc is restrained from rotation by a spring attached at radius r ft from the center. If the mass is displaced downward from the rest position, determine equation of motion, natural frequency and steady-state response for small vibration...
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring satisfies Hooke's law with a spring constant of k 18 N m1. No damping is present. Gravity acts on the mass with a gravitational constant of g 10 m s2. An external force of R 24 sin (wt) Newton is applied to the mass, directed downwards, where t is the time in seconds since the mass was set in motion and w is a...
Q3-(25 pts) A block of mass m is attached to an ideal spring with rest (equilibrium) length L and spring constant k on the x axis. m other end of the spring is fixed to a wall Initially, the spring is compressed by an amount L/2 and another block of mass 2m is placed in front of the first block (they are not attached). The system is released at t 0 from rest. Ignore friction and the sizes of the...
A mass m = 1 kg is attached to a spring with constant k = 9 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 8 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction?
A 1,11-kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 100,28 N/m. The block is pulled from its equilibrium position at x = 0.00 m to a displacement x = +0,04 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. What is the velocity of the block at time t = 0,23 s? Answer in two decimal places.
A mass m = 1 1 kg is attached to a spring with constant k = 4 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 7 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction? C =