Elastic modulus Problem
Known: force, Area, elastic modulus
Unknown: strain
E= O/e
O= F/A
Internal Force
0= Force/Area
Elastic modulus equation
Linear strain equation
Linear strain problem
L= 2.0004 cm
L0= 2.0 cm
e=?
Locating COG (barbell)
Torque equation
Torque equation
Locating COG equation
General torque equation
"Weight" equation
Calculate W, when m & g are known
Calculate m, when w & g are known
Colinear barbell bench force
Concurrent: Usain Bolt (force with friction and weight)
Mechanical Stress Equation
Shear
Linear Strain
Tension Equation example
Known: f= 700,000N, A= 0.001m^2
Work equation
- U= F(d)
- Force * displacement
- = N*m = Joules
- U= Favg(d)
Work Example problem
Known: Average force, displacement
Kinetic energy
Conservation of Mechanical energy
- KE (from speed of take off)
- SE (of a bending pole)
- PE (at top of flight [bar clearance])
- KE (landing)
Power equation
- Units = Watts, 1 J/s
Potential Energy Problem
Known: Force (N), Wh
- gravitational energy
Potential Energy Equation (strain/spring)
Potential Energy Equation (gravitational)
Potential Energy Equation (strain/spring)
Known: stretch (mm), stiffness (N/m)
NO SE or PE because...
displacement is horizontal
Work Energy Principle: the net work done by all
external forces=change in KE of the
object
Work Energy Principle:(ALT): work done by all
nonconservative forces = change
in the total mechanical energy of
the object
Work-Energy Principle Problem
Known: Mass(g), no SE or PE, Force (from last slide)
Average acceleration formula (in not know time or duration)
Impulse and momentum equation