# Problems with vectors

## Homework Statement

In an assembly operation illustrated in Figure P1.49, a ro-bot moves an object ﬁrst straight upward and then also tothe east, around an arc forming one quarter of a circle of radius 4.80cm that lies in an east–west vertical plane. Therobot then moves the object upward and to the north,through a quarter of a circle of radius 3.70cm that lies in anorth–south vertical plane. Find (a) the magnitude of thetotal displacement of the object and (b) the angle the totaldisplacement makes with the vertical.
http://img62.imageshack.us/img62/2459/assemplaggio.jpg [Broken]

## The Attempt at a Solution

$$C_{1}/4=2πr=2π(4.80cm)/4=7.55$$
$$A^→=(7.55,0)cm$$
$$C_{2}/4=2πr=2π(3.70cm)/4=5.81$$
$$B^→=(0, 5.81)cm$$
$$R^→=A^→+B^→=(7.55, 5.81)cm$$
$$R=sqrt(7.55^2+5.81^2)=9.52cm$$
$$σ=37.6°$$;
the results is 10.4 cm and 35.5°.

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