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    Classical Mechanics

    Projectile motion

    A missile is launched at a speed of 25 m/s at an angle of to 35the ground. What is its range? How high did it go vertically? Answer without using calculus.

    Uniform cylinder, moment of inertia by translation of axis.

    A uniform cylinder, has mass 18 kg and radius .5 m. Its moment of inertia about an axis which is .3 m from the center of mass axis, is 3.87 kg m^2. Each axis is perpendicular to the circular face of the cylinder. Find the moment of inertia about an axis at the surface of the cylinder.

    Finding the Center of Mass of a Nonlinear Thin Rod

    A thin non-uniform rod is 4 meters in length and has a linear density D, (mass per unit length), in kg/m, which is expressed by D= 3 + 5 x in which x is the distance in meters from the zero end of the rod. Find the x coordinate of the center of mass of the rod.

    Kinematics Traveling Car Problems

    A car travels 600. m one way with a speed of 40. m/s and then travels 600. m in another way at 20. m/s.What is the car's average speed? (Caution: The answer is not 30. m/s.)

    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

    Find the cable tension.

    An apparatus consisting of a wood block of density 650 kg/m^3 and mass M= 64 kg, is attached by a cable to a cement block of density 4500 kg/m^3 and mass 125 kg. The cement block rests on the sea bottom, and holds the wood block stationary above it. The sea density is 1025 kg/m^3. Find the tension in the cable.

    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.

    Equation of x(t) for a certain point moving with SHM

    The position x of a certain SHM is expressed by: x = (.25 m) cos (8 t). PART a. Take derivatives to write v(t) and a(t). PART b. ATTACHMENT #1 shows general sine or cosine curves with the time axis shown. The location of the vertical axis, not shown, depends on the equation for t=0. For each equation, make a vertical axis

    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

    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

    Frequency of Vibration Denoted

    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.]