Q.1 Consider the following equation of motion 2x + cx + 800x = 50 sin(10t) find the solution of the steady state response.
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- Assume that the board you used was covered with two materials, material 1 and material 2. If the height where the wooden block started to slide down is higher on material 2 than on material 1, what can we say about the μs and μk associated with material 2 as compared to material 1? a. μs and μk on material 2 is higher than on material 1b. μs and μk on material 1 is higher than on material 2c. μs on material 2 is higher than on material 1, but μk material 1 is higher than on material 2d. μs on material 1 is higher than on material 2, but μk material 2 is higher than on material 1e. Regarless of any height, μs and μk is same on material 1 and material 2The heart of a resting adult pumps blood at a rate of 5.00 L/min. a. Convert this to cm^3/s.b. What is this rate in m^3/s?The path of motion of a 7-lblb particle in the horizontal plane is described in terms of polar coordinates as rr = (2 tt ++ 1)ftft and θθ = (0.5 t2t2 −− tt) radrad, where tt is in seconds.
- a)Find an expression for the bullet's initial speed v_B in terms of m, M, k, and d. Express your answer in terms of the variables m M k d b)What was the speed of a 1.8 g bullet if the block's mass is 1.1 kg and if the spring, with k = 37 N/m , was compressed by 16 cm? Express your answer in meters per second. c)What percentage of the bullet's energy is "lost"? Express your answer in percent to four significant figures.Note: Because the argument of the trigonometric functions in this problem will be unitless, your calculator must be in radian mode if you use it to evaluate any trigonometric functions. You will likely need to switch your calculator back into degree mode after this problem.A massless spring is hanging vertically. With no load on the spring, it has a length of 0.24 m. When a mass of 0.59 kg is hung on it, the equilibrium length is 0.98 m. At t=0, the mass (which is at the equilibrium point) is given a velocity of 4.84 m/s downward. At t=0.32s, what is the acceleration of the mass? (Positive for upward acceleration, negative for downward)For the given A→ draw B→ that will guarantee C = 0.
- 1. In this problem, you will work out the dimensions and units of quantities from equations. This is a very useful method for checking the physical validity of equations. (a) Consider a particle whose position x is given as a function of its speed v by the following equation v = Ce¯x, where b and C are positive constants. Find the units of C and b in the S.I system. Practice Quiz1 (b) Consider a particle velocity v is given as a function of time t by the following equation, v= Aw sin(at) where A, o are positive constants. Find the units of A and in S.I units. 2. A particle is moving in a straight line. The graph denotes the velocity of the particle as a function of time. (a) Draw a graph of the acceleration of the particle as a function of time. Your graph should include the magnitude and sign of the acceleration. (b) Draw a graph of the displacement of the particle as a function of time. The particle starts from x = 0. 10 8 (s/w) A AA 2.6 -8 -10- t (sec)The y-coordinate of a particle varies at a constant speed of 4.2 m/s. At t=0, the y-coordinate was found to be 2.7 m. Find an analytic expression for the function y(t).