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Classical Mechanics

Elasticity: Tensile stress - normal, tangential; shear stress

See attached diagram. A bar with cross sectional area A is subjected to equal and opposite tensile forces F at its ends. Consider a plan through the bar making an angle ? with a plane at right angles to the bar. a.) What is the tensile (normal) stress at this plane in terms of F, A, and ? ? b.) What is the shear (tange

What is the largest mass Tarzan can have and swing safely across the river?

Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.0 m long. His speed at the bottom of the swing, just as he clears the surface of the river, is 8.0 m/s. Tarzan does not know that the vine has a breaking strength of 1.0 x 10^3 N. What is the largest mass Tarzan can have and make it safe

Physics momentum and center of mass: How far will the boat move?

Two people, one of mass 75.6 kg and the other of mass 60.2 kg, sit in a rowboat of mass 82.4 kg. With the boat initially at rest, the two people, who have been sitting at opposite ends of the boat 2.02 m apart from each other, now exchange seats. How far will the boat move?

Pressure in Pascals for high heel shoe print

A high heel shoe leaves a foot print on the floor. The front area part of the print has an area or 32.5 cm squared. The heel of shoe leaves a 1 cm circle imprint. Standing on one leg, what pressure in pascals would you exert on the floor, assuming you weigh 165 lbs? How deep would one need to dive in fresh water in order to

Deriving Expression for Block Configuration

See attached file. Three blocks are configured as in the attachment. A string is attached from block #1 to block #2 (looped over a pulley), and the angle between the string going from mass #2 to the pulley, with respect to straight downward, is θ (block #2 is hanging there, not touching block #3). An external force F i

Strategy to find speed of hockey puck at launch and as it leaves the rink

A hockey puck just clears the 2.00-m high boards on its way out of the rink. The base of the boards is 20.2 m from the point where the puck is launched. a. given the launch angle of the puck (-), outline a strategy that you can use to find its initial speed Vo. b. use your strategy to find Vo for (-) = 15.0 degrees.

Find maximum force P on Block A such that B does not slide relative to Block A.

SEE ATTACHMENT #1 for a diagram with parameters. Block B whose weight B= 22 nt, is placed on top of Block A whose weight is A= 44 nt. The coefficient of friction for all surfaces is f= .20. A horizontal force P is applied to A to slide both objects across the horizontal table. Find the maximum force P such that block B d

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.

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

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

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?