HONORS PHYSICS I (Summer 2016)
Problem Set 2
Due: 2 June 2016, 10 a.m.
Problem 1. Collar A starts from rest and moves upward with a
constant acceleration. Knowing that after 8 s the
relative velocity of collar B with respect to collar
A is 24 cm/s, determ

HONORS PHYSICS I (Summer 2016)
Problem Set 8
Due: 12 July 2016, 10 a.m.
Problem 1. What is the number of degrees of freedom for the following systems: (a) two particles
connected by a rigid massless rod, (b) two particles connected by a massless spring,
(

HONORS PHYSICS I (Summer 2016)
Problem Set 5
Due: 24 June 2016, 10 a.m.
Problem 1. Recall that the amplitude of steady-state forced oscillations with a sinusoidal driving force
Fdr = F0 cos dr in the presence of linear drag is given by the formula
A(dr )

HONORS PHYSICS I (Summer 2016)
Problem Set 1
Due: 27 May 2016, 10 a.m.
Problem 1. Given the Diracs constant h
= h/2 (where h is the Plancks constant), the gravitational constant G, and the speed of light in vacuum c, use dimensional analysis to
construct

HONORS PHYSICS I (Summer 2016)
Problem Set 4
Due: 14 June 2016, 10 a.m.
Problem 1. A ball with mass m is thrown vertically upwards with initial speed v0 . Assuming linear air
drag write down and solve the equation of motion for the ball, i.e. find the tim

HONORS PHYSICS I (Summer 2016)
Problem Set 9
Due: 22 July 2016, 10 a.m.
Problem 1. Suppose a particle with mass m moves acted upon a central force F = Fr n
r . Show that
if the trajectory of the particle r = r() in polar coordinates is known, the magnitu

HONORS PHYSICS I (Summer 2016)
Problem Set 12
Due: 8 August 2016, 12 noon
Problem 1. A thin, uniform rod has length L and mass M . Calculate the magnitude of the gravitational
force the rod exerts on a particle with mass m that is placed at a point along

HONORS PHYSICS I (Summer 2016)
Problem Set 10
Due: 28 July 2016, 10 a.m.
Problem 1. Based on measurements of rotational energy levels of a HF molecule, its moment of inertia about
the axis perpendicular to the line connecting both atoms, passing through t

HONORS PHYSICS I (Summer 2016)
Problem Set 7
Due: 7 July 2016, 10 a.m.
Problem 1. Consider the two force fields F1 and F2 from Problem 8 of the previous problem set.
(a) Check whether they are conservative (i.e. potential).
(b) For those that are conserva

HONORS PHYSICS I (Summer 2016)
Problem Set 3
Due: 7 June 2016, 10 a.m.
Problem 1. A butterfly flies along a curved trajectory, so that the distance it travels is given by
s(t) = s0 ect , where s0 and c are positive constants. Assuming that at any point of

HONORS PHYSICS I (Summer 2016)
Problem Set 6
Due: 30 June 2016, 10 a.m.
Problem 1. A chain with length l and mass m rests on a flat surface. Find minimum work needed to
lift it, by holding one of its ends, in the case when
(a) the chain is uniform,
(b) th

HONORS PHYSICS I (Summer 2016)
Problem Set 11
Due: 4 August 2016, 10 a.m.
Problem 1. A ball with radius R rotates about the axis of symmetry horizontal to the
surface with angular speed 0 . At an instant of time, the rotating ball
is placed on a rough sur