Transcript Lec02-105A-12-10Fall-ProblemsDimLim.pptx

Phy 105A Analytical Mechanics
28 June 2016
Manuel Calderón de la Barca Sánchez
Prob. 1.6 : Projectile Distance

h
Stewie throws a ball at an angle of his
choosing to achieve the maximum distance.
He can throw at a fixed speed v, and he
stands on the edge of a cliff of height h. One
of the following expressions gives the
maximum horizontal distance the ball can
travel. Which one is the correct one?
v2
2 gh
gh 2
1 2
g
v
v2
2
2
v
2 gh 

v
1  2 
g 
v 
g maximum horizontal distance
2
v
v2h
g
28 June 2016
MCBS
g
2 gh
1 2
v
Heed the strategy!
28 June 2016
MCBS
Analytical Mechanics:
Newton & Lagrange
 A block of mass m is held motionless on a frictionless
plane of mass M and angle of inclination q. The plane
rests on a frictionless horizontal surface. The block is
released. What is the horizontal acceleration of the
plane?
q
28 June 2016
MCBS