Write the equation for the general motion.

"A seismograph detects vibrations caused by seismic movements. To model this system, it is assumed that the structure undergoes a vibration with a known amplitude band frequency w (rad/s), such that its vertical displacement is given by xB=bsin(wt). This movement of the structure will produce a relative acceleration in the mass m of 2 kg, whose displacement 2 will be plotted on a roller." x= 15 kN/m Structure -WI 24 mm (Ctrl) sin(wt) b(w/w)² √√1 (w/w)] + [25(w/w)]²' "The seismograph's roller measures 60 mm, and a maximum vibration amplitude of the structure of b<5 mm is expected. Design the damper (constant c) to ensure that, for a constant oscillation, the seismograph functions correctly and the needle does not move off the roller."

1 The penny-farthing (aka "Ordinary") is a fixed gear bicycle. If the large wheel has a diameter of 70 inches and the rider pedals at a cadence of 60 rpm (revolutions per minute), how fast will the bicycle travel (in mph)? BAL ins Architects VOIANO Covene ROSEMED DAVE CREASY 2 You are attempting to use a 1m-long lever to raise an object off the ground. If the object weighs 10kg and the fulcrum is located 10 cm from the load, how much force (in Newtons) must you apply to raise the object? Effort Load Class 1 Lever Fulcrum

For the following problem please show your step by step process so your thought process can be followed. Please also show a sketch, quantities given, quantities to be found, and boxed answer with units.

A structure has a mass of 10 kip/g and a stiffness of 10 kip/in. The acceleration of gravity, g, is 386.1 in/s2. Provide the period of the structure in seconds.

A 5-kg object is acted upon by a horizontal force P=18t [N], where t is time in seconds. The coefficient of kinetic friction is µk = 0.15. At t = 2 s, the object's velocity is 10 m/s. Determine the velocity at t = 4 s. Use the Impulse-Momentum method. Provide the free-body diagram and show all work. P

Vibrations

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Consider the following system mä(t) + cả (t) + kæ(t) = Ê18(t) + Ê 28(t – t1) N Assume zero initial conditions. The units are in Newtons. If m = 1 kg, c = 3 Ns/m, k = 100 N/m, F1 = 1 N.s, F2 = 3 N.s and tj = 0.01 s, the displacement of the system at t2 = 0.047 s is 72.46 mm 434.76 mm 869.52 mm 115.94 mm 144.92 mm O O O O O

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