Practice Questions
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| 1. |
Two masses, m and M,
are connected to a pulley system attached to a table, as in the
diagram above. What is the minimum value for the coefficient of
static friction between mass M and the table if
the pulley system does not move? |
| (A) |
m/M |
| (B) |
M/m |
| (C) |
g (m/M) |
| (D) |
g (M/m) |
| (E) |
g(M – m) |
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| 2. |
A mover pushes a box up an inclined
plane, as shown in the figure above. Which of the following shows the
direction of the normal force exerted by the plane on the box? |
| (A) |
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| (B) |
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| (C) |
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| (D) |
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| (E) |
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| 3. |
Consider
a block sliding down a frictionless inclined plane with acceleration a.
If we double the mass of the block, what is its acceleration? |
| (A) |
a/4 |
| (B) |
a/2 |
| (C) |
a |
| (D) |
2a |
| (E) |
4a |
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| 4. |
A 1 kg mass on a frictionless
inclined plane is connected by a pulley to a hanging 0.5 kg mass,
as in the diagram above. At what angle will the system be in equilibrium?
cos 30º = sin 60º =  , cos 60º = sin 30º =
1/2, cos 45º = sin 45º = 1/ . |
| (A) |
0º |
| (B) |
–30º |
| (C) |
30º |
| (D) |
45º |
| (E) |
60º |
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| 5. |
An
object of mass m rests on a plane inclined at an
angle of  . What is the maximum
value for the coefficient of static friction at which the object
will slide down the incline? |
| (A) |
 |
| (B) |
 |
| (C) |
 |
| (D) |
 |
| (E) |
 |
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| 6. |
A
mass on a frictionless surface is attached to a spring. The spring
is compressed from its equilibrium position, B,
to point A, a distance x from B.
Point C is also a distance x from B,
but in the opposite direction. When the mass is released and allowed
to oscillated freely, at what point or points is its velocity maximized? |
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| (A) |
A |
| (B) |
B |
| (C) |
C |
| (D) |
Both A and C |
| (E) |
Both A and B |
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| 7. |
An
object of mass 3 kg is attached to a spring of spring constant 50
N/m. How far is the equilibrium position of this spring system from
the point where the spring exerts no force on the object? |
| (A) |
0.15 m |
| (B) |
0.3 m |
| (C) |
0.5 m |
| (D) |
0.6 m |
| (E) |
1.5 m |
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Questions 8–10 refer to a pendulum
in its upward swing. That is, the velocity vector for the pendulum
is pointing in the direction of E.
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| 8. |
What is the direction of the force
of gravity on the pendulum bob? |
| (A) |
A |
| (B) |
B |
| (C) |
C |
| (D) |
D |
| (E) |
E |
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| 9. |
What is
the direction of the net force acting on the pendulum? |
| (A) |
A |
| (B) |
B |
| (C) |
C |
| (D) |
D |
| (E) |
E |
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| 10. |
If the
pendulum string is suddenly cut, what is the direction of the velocity
vector of the pendulum bob the moment it is released? |
| (A) |
A |
| (B) |
B |
| (C) |
C |
| (D) |
D |
| (E) |
E |
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