Physical pendulums with SHM. Compare period of ring to that of bar.

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 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.

finding the final velocity of a falling object

A construction worker on a new high-rise building drops a wrench and it falls 78.4 m to the ground. How fast is it moving when it hits, assuming no air resistance? Use g = 9.8 m/s2.

Object of mass 2M moving with SHM. Describe effects: A. If one mass detaches at xm, B. If one mass detaches at center.

Driven by a spring with force constant k, on a horizontal frictionless table, two joined masses, each mass M, is executing SHM between xm and -xm. Known parameter values are: M= 2 kg, k= 64 nt/m, xm= .25 m, SEE ATTACHMENT #1 for diagram showing parameters, and general equations of SHM. PART a. Find the period, and maximum velocity, with both masses executing SHM. PART b. If one of the masses is detached at +xm, find the subsequent period, amplitude, and maximum velocity of the remaining mass. PART c. If one of the masses is detached at the center, x=0, moving toward +xm, find the subsequent period, amplitude and maximum velocity of the remaining mass.

Find the maximum height of a cannonball fired at an angle from the ground.

A battalion of soldiers aims their cannon at an angle of 30° up from horizontal and fires it as shown below in a large, level field. The initial speed of the cannon ball is 196 m/s. Neglect air resistance and assume that the cannon ball starts at ground level for simplicity. Use g = 9.8 m/s2. What is the maximum height reached by the cannon ball?