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Classical Mechanics

A page of extremely useful formulas for mechanics.

Equations include those for linear motion, rotary motion, momentum, energy, etc. This is a great study tool, if a student is capable of understanding and using these formulas they should be able to do well on any exam in this area.

Physical pendulums with SHM.

A thin uniform ring, placed on a knife edge pivot executes SHM period 'Tr'. The same ring is cut, then straightened to form a bar, which executes SHM with a period 'Tb'. Find the ratio of periods, Tb/Tr.

A multi part calculation about volume flow rates in a leaking tank

A tank of oil, p=670kg/m^3, develops a leak. The leak is 6m below the open surface of the tank. A. If the leak is circular with a 7.5cm diameter, and the tank is 1.0 in diameter, what is the current volume flow rate of oil leaving the tank? Do not assume the tank is large compared to the leak. B. In time the leak will be 5

Physics: A cube suspended in water by a cord; find mass and force

A cube of aluminum, whose volume is Va= .125 m^3, and whose density is Da= 2700 kg/m^3 is suspended from a cord which holds it stationary with the top surface horizontal and h= 2.2 m below the surface of fresh water. See attachment #1 showing known parameters. PART a. Find the mass of the aluminum. PART b. Find C, the force

Proton collision

A proton makes a head-on collison with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic

A guitar string problem is posed.

A particular guitar string is supposed to vibrate at 199.1 Hz, but it is measured to actually vibrate at 214.2 Hz. By what percent should the tension in the string be changed to cause the string to vibrate at the correct fundamental frequency? [Enter the percentage only; do not enter units.]

Calculating the tension of a string.

A solid object made out of lead has a volume of 24.0 cm3 and is supported (from above) by a string while the object is completely submerged in water. What is the tension in the string?