1. consider three objects: object a is a hoop of mass m and radius r; object b is a sphere
of mass 2m and radius ; object c is a disk of mass 3m and radius r. show work and draw
a picture.
a. which has the greatest rotational inertia?
b. which has the smallest rotational inertia?

When you push downward on a book at rest on a table, you feel an upward force. does this force depend on friction? defend your answer.

Charge is distributed along the entire x-axis with uniform density λ. how much work does the electric field of this charge distribution do on an electron that moves along the y-axis from y = a to y = b? (use the following as necessary: a, b, ε0, λ, and q for the charge on an electron.)

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^.