An inverted pendulum on a cart is 53 cm long. The cart suddenly moves by 2.4 mm. Use gravitational acceleration of 9.81 m/s2. (a) We know from the inverted pendulum analysis that using proportional feedback for the pendulum, the system response is oscillatory. If K = 114.3 cm/rad, obtain the response of the pendulum (i. e., et)), its amplitude, and the period of oscillation. (b) Obtain the response function., et), for the same pendulum if we use proportional-plus-integral feedback with K = 114.3 cm/radian and K2 = 668.1 cm/s-radian.

graphing motion: mastery test

209be

what is the instantaneous acceleration of

the particle at point b?

0 meters/second?

10 meters/second?

12 meters/second?

velocity imetersisecond

15 meters/second?

20

time (seconds)

answer: 0 meters/second^2

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.