Physics 106a Problem Set 1: Solutions
Ke (Kevin) Ye,
kye AT caltech.edu
October 10, 2015
1. Momentum and Angular Momentum [10 Points]
From the given trajectory we can compute the momentum using elementary derivative in Cartesian
coordinate:
r = (x0 + at2
Physics 106a Midterm: Solutions
Ke (Kevin) Ye,
kye AT caltech.edu
October 23, 2015
3. Constrained Motion [15 Points]
Let us set up our coordinate system. Take the origin at the center of large cylinder, and let x and z
be the horizontal and vertical axis.
Pkolj‘em I (Q‘g’
(a) C‘AEMPTI-F +1": Lﬂjfﬁnj‘Jan L.‘ :5 ‘relk‘j‘cg +0 .Hqé
l
g
ILOL fan in L Vt
j j A “a
Li L j 5 Lam: [£4 I ]L( l (Jig? “L
«j yC‘A 6', (57 UQFE'TQAE f
/
0W6 "HG QM— CL‘S Hui, E,
‘W ij \rcm e,
Caz/vex 501‘? k); V“ L:
I
> . wit&)iﬁm 4'm a
Pol 3 H 3 1
rb m : F .
e
2
Fall 2005 Ph106a/196a
Problem Set 7
12
Problem 4
Fall 2005 Ph106a/196a
Problem Set 7
13
Problem 4
Pol 4 H 97
rb m : F e
Fall 2005 Ph106a/196a
Problem Set 7
24
Problem 8
Fall 2005 Ph106a/196a
Problem Set 7
25
Problem 8
Fall 2005
Fall 2015 ph106 Problem Set 5 Solutions
Zachary Mark
November 30, 2015
Problem 1
HF 4.12 (Center of Mass). 10 Points
A projectile in outer space subjected to no external forces suddenly explodes into three pieces, which have Cartesian coordinates
r1 , r2