Question

A pendulum bob of mass 50 g is suspended on a string from the ceiling of an elevator which is moving downwards with an acceleration 1.5 ms-2. Draw the free body diagram using the non-inertial frame of reference and determine the tension in the string. (Take g = 10 ms-2)

Answer 1

Answer on Question #65729 - Physics - Mechanics

A pendulum bob of mass $50\mathrm{g}$ is suspended on a string from the ceiling of an elevator which is moving downwards with an acceleration 1.5 ms-2. Draw the free body diagram using the non-inertial frame of reference and determine the tension in the string. (Take $\mathrm{g} = 10$ ms-2)

Solution.

1. Calculate total acceleration:

$$g _ {t} = 1 0 - 1. 5 = 8. 5 \frac {m}{s ^ {2}};$$

2. Calculate applied to bob force:

$$F _ {b} = m g _ {t};$$ $$F _ {b} = 0. 0 5 0 * 8. 5 = 0. 4 2 5 N;$$

3. Calculate applied to string force:

$$F _ {s} = - F _ {b};$$ $$F _ {s} = - 0. 4 2 5 N;$$

4. Draw the free body diagram:

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