Position from polar velocity A particle P starts at time t 0s at the position r 3 m y-4 m. The velocity v of the particle is written in the polar basis associated with its current position, and is: In the above expression, t is in seconds. Matlab/Mathematica input: y0-4 What is the position of P att-4 s?

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.

Areaction-bonded silicon nitride ceramic has a strength of 250 mpa and a fracture toughness of 3.4 mpa(m)^1/2, what is the largest-sized internal flaw that this material can support without fracturing? (use y -1 in the fracture-toughness equation.)