What are the bending spring constants for a silicon cantilever with E = 170 GPa, h = 5 µm, w = 2 µm, and L = 100 µm? In real manufacturing, there is likely a dimensional deviation in fabricated device from design values. How much the spring constant change if all dimensions are increased by 5%? How much the spring constant change if all dimensions are decreased by 5%? How much the spring constant change if all dimensions are increased by 200 nm?

In all trials, the magnitude of the final velocity for g1 + g2 was less than the magnitude of any initial velocity. as mass increased, what happened to the velocity? the velocity decreased. the velocity increased. the velocity of g1 + g2 could not be measured. the velocity was not affected by the mass increase.

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

What kind of simple machine is a catapult?