Two crates sit on a wooden beam as shown at
right. The crates and beam remain at rest. The
beam is supported by a frictionless pivot. The
crates are not identical.
A. In the space below, draw an extended freebody diagram of the beam. Label your forces to
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Quantitative questions [15 points total; 3 pts per problem]
For each of the questions below, show your work and make sure it is easy for the reader to find your
answer.
1. An airplane
Tutorial 2 Homework
SOLUTION
Name
Graphing and data analysis
Tutorial section
In the tutorial about velocity and acceleration graphs last week, most of you didnt finish the last set
of questions about a cart going up and down a ramp. The first two pages b
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1. [20 points total] Objects A and B
move to the left along parallel,
straight paths. The velocity vectors
of the objects are given for the times
indicated at right.
At time t = 2t0, objects A and B are
a
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2. [20 points total] The figure below shows the instantaneous velocity and acceleration vectors for three
objects at a particular instant. At the instant shown, the objects all have same speed
the
(i.e.,
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1. [20 pts total] The velocity vs. time graph for an
object is shown.
A. [4 pts] At point B, is the object moving in the
positive direction, in the negative direction, or is
it at rest? Explain.
Velocity, m/s
0
1
2
3
4
5 T
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SOLUTION
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2. An aluminum disk and a steel ring are both wound with thread and hung from the ceiling. Both the
disk and the ring have the same mass and radius. They are then both released at the same time f
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2. An aluminum disk and a steel ring are both wound with thread and hung from the ceiling. Both the
disk and the ring have the same mass and radius. They are then both released at the same time from
the s
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3. [22 points total] A child runs with constant velocity v0 toward a stationary merry-goround. When the child reaches the merry-go-round, she grabs one of the handles and
jumps on. The merry-go-round begins rotating
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2. Two identical blocks are pushed up frictionless inclines as shown. Consider the portion of the motion of
block 1 during which it moves a distance L1, and the portion of the motion of block 2 during whic
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1. Pucks A, B, and C, each of mass m, are
launched on a frictionless surface with speed
v0 toward stationary pucks X, Y, and Z.
Pucks X, Y, and Z all have the SAME mass M
(M > m) but are made of different mater
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For each of the questions below, show your work and make sure it is easy for the reader to find
your answer.
4. [4 pts] The temperature of a plastic cube is monitored while the cube is pulled 2.5 meters
across a floor at c
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3. Three identical spools are dropped from the same height at the same instant, but
in different ways. Spools A and B are connected by a massless, inextensible
thread that runs over an ideal pulley. The thread is wrapped a
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1. Two people, John and Sarah, are both
pulling on light-weight ropes that are
connected to a large wooden beam
which is floating in a small swimming
pool. John and Sarah pull with forces
that are equal in magnitude and
horizont
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2. Two collision experiments (E1 and E2) are
performed with gliders on a level, frictionless air
track. (See diagram.)
In E1, glider A1 collides with glider B1, which
is initially at rest. A1 initially moves to the righ
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For each of the questions below, show your work and make sure it is easy for the reader to find
your answer.
3. [4 pts] A coffee-shop sign is hung from two thin steel cables. The
outer cable makes an angle of 40 with the h
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2. [22 points total] A book rests on a wooden plank that has one end
propped up on brick, as shown in the diagram at right.
A. [6 pts] The book does not move. In the space below the
diagram, draw a free-body diagram for th
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1. [26 points total] Two blocks connected by string 2 are initially moving upward. A
hand pulls string 1, which is attached to block A, so that the blocks are gradually
slowing down. The strings remain taut at all times. T
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Quantitative questions [12 points total; 4 points per problem]
For each of the questions below, show your work and make sure it is easy for
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2. [20 points total]
A. A crate rests on the floor of a merry-go-round that rotates counterclockwise
at a constant rate as indicated in the diagram at right. The crate does not
slip on the floor of the merry-go-round.
i.
[
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1. [24 pts total] Blocks A, B, and C are being pushed across a
frictionless table by a hand that exerts a constant horizontal
force. Block A has mass 2M, block B has mass 3M and
block C has mass M. The blocks move to the l
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2. A child of mass M swings back and forth on a swing of
mass m (M > m). The child sits on the swing and remains
seated throughout the motion.
The distance from the point of suspension to the center of
ma
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1. A. A hand pushes horizontally on a wooden block that is against a wall.
The block does not move.
i. Draw a free-body diagram for the block. Label each force, clearly
indicating:
the type of force (gra
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3. [10 pts] Each part of this question (A-E) is independent of the other parts; all parts have the
same initial assumption (in bold). For each part, answer the question and explain your
reasoning using words, diagrams, and
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2. [15 pts total] Two students, M and N, are riding bumper-cars at the state fair. The diagram below
shows snapshots of the students in their cars at two different instants, with velocity vectors. The
velocity vectors of t
DRAG
I. Air resistance and Newtons second law
Suppose that you took a small rubber ball to the top of a very tall building and dropped it from rest at
t = 0. At a later time t = to, the ball moves with constant speed. (The constant speed eventually reache
Homework for DRAG
Name:
Felix Baumgartner launches his helium balloon from Roswell, NM, and jumps out at a recordbreaking 23 miles above the ground. Treat all of these problems as consisting of purely onedimensional, vertical motion.
1. Felix has a mass o
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2. [22 pts total] In each of three experiments, puck A
(of mass m) is launched on a frictionless surface
with speed v0 toward stationary pucks X, Y, and Z.
Pucks X, Y, and Z all have the same mass M,
which is greater than