17 8 pts the figure shows three forces of the same

17. (8 pts) The figure shows three forces of the same magnitude applied to a particle at the origin, with
F
1
acting into the paper. With respect to the point P, rank the forces according to the magnitude of
the torques produced, greatest first.
A) F
1
= F
2
= F
3
B) F
1
= F
2
> F
3
C) F
2
> F
3
> F
1
D) F
3
= F
2
> F
1
E) F
1
> F
2
=F
3
18. (8 pts) In the figure, a solid ball rolls smoothly down, starting at rest at H = 6 m and leaves the
horizontal ledge at height h = 2 m. How far in m from that ledge does it land?
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Problem #1 (28 pts, you must show your work ): As shown in the figure, a uniform beam of length L
supported at angle θ by a horizontal cable and a wall hinge. The tension in the cable is T . In terms of
θ , g , T , and numerical constants, as needed,
A) (5 pts) draw forces acting on the beam
B) (6 pts) find the gravitational force on the beam in unit-vector notation.
C) (8 pts) find the force on the beam from the hinge in unit-vector notation.
D) (9 pts) Then , the cable is cut and the beam is no longer in equilibrium. Find the magnitude and
direction of the initial angular acceleration of the beam about the hinge?
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is
L ,

Problem #2 (28 pts, you must show your work ): The figure gives the position (in cm) as a function of
time of a block attached to a spring with spring constant k = 5.0 x 10
3
N/m. The maximum displacement
from equilibrium is 7 cm, and the period of oscillation is t
s
= 10 ms (millisecond).
A) (5 pts) What is the mass of the block?
B) (5 pts) What is the phase constant?
C) (5 pts) What is the maximum elastic potential energy?
D) (7 pts) What is the maximum speed of the block?
E) (6 pts) What is the spring force (magnitude and direction) acting on the block at t = 0.0 s?
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