A physics textbook presents the following partially completed comparison table…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics
Problem
A physics textbook presents the following partially completed comparison table between translational quantities and their rotational counterparts.
Translational Quantity
Rotational Quantity
Force F
(A)
Linear momentum p
(B)
Mass m
(C)
Net force ∑F
Net torque ∑τ
Constant velocity v
(D)
Answer the questions that follow, using complete sentences, clear reasoning, and, where appropriate, symbolic expressions.
(1) Fill in blanks (A)–(D) in the table.
(2) Describe, in words, the physical meaning of the statement ``∑F=0 implies v is constant'' and then state its exact rotational analogue using the quantities you supplied in part (a).
(3) Many students claim that the correspondence ``linear displacement Δx maps directly to angular displacement Δθ'' is always valid. Give one specific example in which this direct mapping breaks down, and explain why the breakdown occurs.