You are carrying your 3-year-old niece on your shoulders in an elevator cabin that is moving upward with velocity \(1.5 \mathrm{~m} / \mathrm{s}\) and constant downward acceleration of \(1.0 \mathrm{~m} / \mathrm{s}^{2}\) (Figure P8.23). Your inertia is \(50 \mathrm{~kg}\), your niece's inertia is \(20 \mathrm{~kg}\), and the cabin's inertia is \(100 \mathrm{~kg}\).

(a) Draw free-body diagrams for the elevator cabin, your niece, and yourself, labeling the forces using the notation introduced in Section 8. 5. Make sure the lengths of the force vectors are appropriate to the magnitudes of the forces.

(b) State the magnitudes of as many forces as possible, and identify all the forces that form interaction pairs. Explain briefly how you obtained these magnitudes.

Data from Figure P 8.23

Data from Section 8.5

.......

Transcribed Image Text:

rope (r) niece (n) 1.5 m/s person (p) 1.0 m/s cabin (c)