- #1

TonyTheTech

- 1

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## Homework Statement

The quality of the image is bad so here's the statement:

For an interval of motion the drum of radius b turns clockwise at a constant rate ω in radians per second and causes the carriage P to move to the right as the unwound length of the connecting cable is shortened. Use polar coordinates r and θ and serive expressions for the velocity v and acceleration a of P in the horizontal guide in terms of the angle θ. Check your solution with time of the relation x

^{2}+h

^{2}=r

^{2}

## Homework Equations

I first found that the velocity of the carriage is v=bω/sin(θ)

## The Attempt at a Solution

I attempted to directly derivate the equation which give me -bωcos(θ)/sin

^{2}(θ)

However, in the book answers, the answer is supposer to be b

^{2}ω

^{2}/h *cot

^{3}(θ).

I think I have to do something with the vectors, like derivate

**v**=v

_{r}

**e**+ v

_{r}_{θ}

**e**but I don't understand much.

_{θ}