The string constrains the rotational and translational motion of the falling cylinder, given that it doesn't slip. what is the relationship between the magnitude of the angular velocity ω and that of the velocity v of the center of mass of the cylinder? express ω in terms of v and r.

Apair of 10μf capacitors in a high-power laser are charged to 1.7 kv.a. what charge is stored in each capacitor? b. how much energy is stored in each capacitor?

Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.

Petroleum contains energy. a. light b. kinetic c. chemical d. mechanical