QUESTION 2 Consider a two-degrees-of-freedom system shown below. k₁ woo kz oooo kz oooo m2 F2 What is the amplitude of vibration of mass 1 oscillating at the input frequency? (This is just another way of asking for the amplitude of the particular solution). The answer must be positive. Use scientific notation with 3 significant figures. Omit units. Use m1 = 1 kg m2 = 1 kg k1 = 127 N/m k2 = 106 N/m k3 = 169 N/m F1 230 cos(1.7t) N F2 = 0.

An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial displacement from equilibrium (at time t = 0) is 0.30 m and the initial velocity is 2.0 m/s. 2. From the initial conditions, determine the energy of the oscillator. Next, use the value of the energy to determine both the displacement and velocity amplitudes. Determine and display the displacement in the form x(t) = Ccos(@ot + q), where C is in meters and o is in radians.

т Figure 8 An experiment is carried out using the apparatus of Figure 8 as follows: The angle 0 is first increased very slowly from zero, until at value 0, the mass m starts to move down the incline. Then, before the mass has had time to accelerate significantly, the angle 0 is reduced swiftly but gently until at value 0, the mass stops moving. The experiment was repeated many times, with resulting average values of 0, = 36° and 02 = 32°. From the experimental results obtained, and using (and showing) the appropriate equations of equilibrium of forces, determine the coefficients of static and kinetic friction that act between the mass m and the supporting surface.

What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by k, and k: as shown below. (A) (B) (C) (D) +k₂ 2m (k, +k, 4m m [k, +k m E

A simple pendulum is subjected to an initial excitation and oscillates in a frequency of 0.8 Hz. If the length of the pendulum is increased by 50%, find the new period of oscillation (in .sec)

ASAP

As shown in figure a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycle/s, is 20 kN/m eeee 100 kg 20 kN/m elle

mechanical vibration please answer this question below

The relative damping factor of a race car is 0.5. Assume that the mass of the car (1200 kg) is evenly distributed over the wheels. The natural frequency of the body is 2.1 Hz. How long does it take for the amplitude of the oscillation to decay from the initial value to 26 tenths? Enter the answer in seconds to two decimal places.

Please solve the following