A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is A = 0.01 m and the mass of the block is m = 400 g then the %3D angular frequency w is equal to 1.25 rad/s 20 rad/s 10 rad/s 5 rad/s O 2.5 rad/s

Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations)

answer ASAP would be appreciated

1- Two mass-spring-damper systems A & B. System A has = 0.1 and @n = 20 rad/sec, and system B has < = 0.3 and wn = 5 rad/sec. Which system will vibrate longer in time? Why?

A SDOF system with a mass 25 kg and stiffness 10 N/mm with damping 0.15 Ns/m is initially at rest. IF the inital velocity is 100 mm/sec. find the expression for subsequent displacement .Hence find displacement and velocity at t=2 secs

Find the natural frequency in Hertz of an undamped mass-spring system with a m= 100 grams and k= 100 N/m

Obtain X1(s)/F(s) and then determine the damping coefficient C of the mechanical system below. m2 =160.1 kg, k =953.7 N/m, k, =1,451.7 N/m, b, =148.0 N-s/m. X1(t) x2(t) k2 f2(t) m2 k, b2 massless plate Sonraki

Q1: Find the system's natural frequency shown in the figure with references to x. The block moves downward and the disk has radius r and moment inertia (Jo) rotates about the fixed point. Assume the cable is rigid with negligible mass. 2k ☑N E E

A mass-spring system is driven by the external force g(t) = 2 sin3t + 10 cos 3t. The mass equals 1, the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at y (0) =-1, with initial velocity y' (0) = 5, find its equation of motion to find y (1). Round up the answer to the second decimal place point.

4 QUESTION 20 The car bridge in Figure Q20 can be modelled as a damped-spring oscillator system with mass M = 10000 kg, spring coefficient k = 50000 N-m-1 and damping constant c = 50000 N-s-m-1. Cars cross the bridge in a periodic manner such that the bridge experiences a vertical force F (N) expressed by F = mg sin(10t) where m = 1136 kg is the average mass of passing cars, g = 9.81 m-s-2 is the gravitational acceleration and t (s) is the time. Determine the maximum force magnitude transmitted to the foundation (see Figure Q20) during the steady-state oscillatory response of the system. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. E m M foundation Figure Q20: Vibrating car bridge.