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A vertical spring oscillator having mass m = 3.00 kg and spring constant k = 200 N/m is in simple harmonic motion. Compute (i) the frequency of the oscillator; (ii) the period of the motion; (iii) t
(i) Determine the equivalent capacitance, and the energy contained in this equivalent capacitor. (ii) Determine the energy stored in each and every individual capacitor.
X rays having a wavelength of 0.15 undergo first-order diffraction from a crystal at a 64 angle of incidence. Find out the angle of second-order diffraction?
Supposing the can to be a cylinder having a height of 10 and a diameter of 6.1, determine the total inward force applied on the vertical sides of the can due to the atmospheric pressure.
Determine all values of x0 for which sequence x0,x1,... will converge to 0 using Newton's method. Illustrate how you found the values and why you believe this is all of values.
Determine the magnitude of the force which a concrete support applies on the bridge (i) at the near end and (ii) at the far end?
Probability that the part produced by the certain factory's assembly line will be defective is 0.026. Determine probabilities that in run of 42 items, the given results ware got.
Use previous 2 parts of question to find the first order non-homogeneous equation which is satisfied by second linearly indpendent solution y2 of original equation.
An object positioned 34.5cm in front of the lens forms an image on the screen 9.54 cm behind the lens. Determine the focal length of the lens. Answer must be in units of cm. Determine the magnifica
Convex mirror consists of a focal length of 8.0 cm (i) When the image is virtual; determine the object place for which the magnitude of the image distance is 1/3rd the magnitude of the object's dist
A concave mirror consists of a radius of curvature of 1.07 m. A bouquet of roses is positioned 1.95 m from the mirror on its reflecting side. Determine at what distance from the mirror will the rose
The ellipse on plane parallel to yz plane has major radius A along z axis, minor radius B along y axis, and center at (xc,yc,zc). Determine explicit nonparametric representation of ellipse?
The cylinder is released from rest and the cords unwind as the cylinder descends. (i) Determine the acceleration of the cylinder? (ii) When the mass of the cylinder is around 2.6 kg, determine the t
By carefully adjusting the strength and direction of the electric and magnetic field, you can make a "velocity selector", a device which deflects all charged particles apart from those with a very s
A marble of 50 gram moving at 2.0 m/s hits a 20 gram marble at rest. Determine the speed of each marble instantly after the collision? Suppose the collision is perfectly elastic.
Determine the angular speed of the rod if the rod forms an angle of 30 degrees with the horizontal? (The moment of inertia of the rod around the pin is around 2.0 kg * m^2).
Label every equilibrium as stable or unstable depending on behavior of solutions which begin nearby, and explain long-term behavior of all solutions.
If the string forms an angle of 35 degrees with the vertical, the speed of the mass is around 5.0 m/s. At this instant determine the magnitude of the force on the mass through the string?
At an instant if the string forms an angle of 40 degrees above the horizontal, the magnitude of the tension in the string is around 3.0 N. Determine the speed of the ball at this instant?
An object joined to the end of a string swings in the vertical circle (R = 1.2 m). At a moment when theta = 30 degrees, the speed of the object is around 5.0 m/s and the tension in the string consis
Determine the basis for subspace T having of matrices in M whose rows add to zero. Determine the basis for subspace S \bigcap T of M. This is set of matrices whose rows and columns add to zero.
If rain falls from the sky, what happens to the momentum as it strikes the ground? Is your answer valid for Newton’s famous apple? Describe.
Find out the final temperature and pressure. Determine how would the conclusion change when the initial pressure were 100 kPa rather?
Determine the relation among the resistivity of a conducting sphere and the angle between the two points where the sphere is joined to the power supply?
Assume we introduce the element of "harvesting", detrimental to rate of growth of both prey and predator, so that equations are altered as follows.