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Learning Introductory Physics with Activities

Section 5.5 Practice - Systems

Subsection Practice

Calculation 5.5.1. Angled ramp with a pulley.

A box (m1=10.5 kg) is on an inclined plane with negligible friction between the box and the incline. This box is attached via an ideal string and pulley to the hanging mass (m1=5.5 kg), as shown. The incline make an angle of 20.0° with respect to the horizontal. Use g=9.80 m/s2. Rank the magnitude of accelerations for m1 and m2. Do we necessarily know the direction of acceleration of m1 without doing any calculations? Find the magnitude of acceleration for m1. What direction is the acceleration of m1?
Figure 5.5.1.
Answer 1.
|a1|=|a2|
Answer 2.
No, but we can just guess a direction. For example, if we assume m1 accelerates up the ramp but our analysis results in a negative acceleration for m1, that means we picked the wrong direction, but the magnitude of our result is correct.
Answer 3.
1.17 m/s2
Answer 4.
Up the incline.

References References

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Practice activities provided by BoxSand: https://boxsand.physics.oregonstate.edu/welcome.