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A 780-g mass is attached to a vertical spring and lowered slowly until the mass rests at its equilibrium position 30 cm below the original length of the spring. It is then set into simple harmonic motion of amplitude 5 cm.
(a) What is the frequency and period of the oscillation?
(b) What is the maximum velocity of the oscillating mass? Where does the maximum velocity occur?
(c) What is the maximum acceleration of the oscillating mass? Where does the maximum acceleration occur?
(d) Draw a diagram showing how the total energy of the oscillating system changes with time.
Find an equation of a plane containing the three points (-2, 5, -3), (-7, 3, 1), (-7, 4, 3) in which the coefficient of x is -8.
The wheel of radius r rolls without slipping and has an angular velocity w. Write an expression for the velocity of point A in terms of theta and show that the velocities of A and B are perpendicular to one another
The gas flow rate is 1 kg m-2 s-1 of and the water entering is 1.6 kg m-2 s-1. For this system Henry's law holds and ye=1.75x, where ye is the mol fraction of A in the vapour in equilibrium with a mole fraction of x in the liquid.
A minimum contact time of 30 min is required to reduce the pathogen concentration from 100 pathogens/L to below 1 pathogen/L through a first- order decay process. You plan on treating water at a rate of 1,000 gal/min.
The stream has a naturally occurring NaCl concentration of 20 mg/L. If the storm sewer flow rate is 2000 L/min and the stream flow is 2.0 m^3/s, what is the concentration of salt in the stream after the discharge point
If the pipe is designed with a safety factor of two [i.e. the maximum stress in the field must be less than half the rated yield stress], what is the maximum depth that can be safely reached for drilling.
ABC is a triangular tract of land. The 1.5 tract DEFG is to be subdivided. AE is 480ft and DC is 350 ft. Determine the lengths of DG and CB. (Note 1 acre= 43,560 f^2)
The truck is driving onto the stationary barge at the speed of v1. The masses of the truck and the barge are m and M, respectively. The barge is free to move on the water and the water resistance is to be ignored.
An object has a mass of 46kg and weighs 450N on a spring scale. Determine the acceleration due to gravity at this location.
If the engine is mounted solidly on a rigid foundation, what is the alternating force amplitude transmitted? Assume the connection rod to be of infinite length.
car traveling along a circular curve that has a radius of 50m. if its speed is 16m/s and is increasing uniformly at 8 m/s^2 determine the magnitude of its acceleration at this instant
a .65% Carbon hypoeutectoid plain carbon steel is slowly cooled from 950 degrees C to just slighty above 723 degrees C calculate the weight percent austenite and weight proeutectoid ferrite in this steel
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