Aone eighth -kg mass is attached to a spring with stiffness 16 n/m. the damping constant for the system is 2 n-sec/m. if the mass is moved eight fifteenths m to the left of equilibrium and given an initial leftward velocity of startfraction 56 over 15 endfraction m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency.

1400 kg car has a speed of 27 m/s. if it takes 7 s to stop the car, what is the impulse and the average force acting on the car?

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].

Under the action of a constant force an object accelerates at 7.8 m/s2. what will the acceleration be if (a) the force is halved? (b) the object's mass is halved? (c) the force and the object's mass are both halved? (d) the force is halved and the object's mass is doubled?