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Name ______________________
PY105 TEST #1
February 19, 2020 6:30-8:15 pm
NAME: __________________________________________
ID NUMBER: ____________________________________
SIGNATURE: ____________________________________
By signing, you agree to follow the Boston
University Academic Code of Conduct for this exam.
INSTRUCTIONS:
1. Do not turn over this cover sheet until instructed to do so.
2. No talking is allowed during this test.
3. Include appropriate units with all numerical answers.
4. Show all steps in your solutions! You must show correct work to receive full credit.
Support your answers with brief written explanations and/or arguments based on
equations.
5. Indicate clearly which part of your solution is the final answer for each part.
6. No notes, books, phones, or calculators
allowed! You should have only pencils and/or
pens.
7. Turn off and put away all electronic devices.
8. No cell phone use for texting or any other
function allowed.
Angle (θ)
sin(θ)
cos(θ)
30˚
1
2
60˚
2
2
3
2
3
2
2
2
1
2
90˚
1
0
45˚
tanθ =
sinθ
cosθ
1
Name ______________________
Problem 4 [10 points]
A large block (labeled 2) of M sits on a horizontal surface. A small block (labeled 1) of
mass m sits on top of the large block. Both blocks are connected to a pulley. Assume the
pulley and the rope are massless and frictionless. There is no friction between the
horizontal surface and block 2, but there is friction between block 1 and 2. A horizontal
force F is applied on block 2 that causes block 2 to move to the right. The system is
shown in figure below.
(a) Draw the free body diagram of block 1. Write out (symbolically) Newton’s second
law equations just for block 1. [2 points]
(b) Draw the free body diagram of block 2. Write out (symbolically) Newton’s second
law equations just for block 2. [2 points]
(c) Draw the free body diagram the system. Write out (symbolically) Newton’s second
law equations for the whole system. [2 points]
2
Name ______________________
For the remaining parts of this question, consider that the mass of block 1 is 4 kg and
block 2 is 6 kg. The coefficients of friction for the interaction between the two blocks are:
µS = 0.50 and µK = 0.25. You can use g = 10 N/kg.
(d) What is the type of the force of friction acting on the small block assuming that the
large block is accelerating to the right? [1 point]
[ ] Static
[ ] Kinetic
Briefly explain your answer.
(e) What is the magnitude of the force of friction acting on the small block assuming that
the large block is accelerating to the right? [1 point]
|Ffriction |= _________
(f) Calculate the magnitude of the maximum force F for the system to remain at rest? [2
points]
|F| = _____________
3
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