Gyroscope

**1. Homework Statement**

One man, with height

**h**, is inside a room. On the ceiling of the room there is a candle that is at a height H from the floor. The man moves in a straight line with velocity

**v1**, passing below the candle.

**a)**Determine the velocity of the shadow of his head projected on the floor.

**b)**What is the relationship between the velocity of the man and the velocity of the shadow of his head when he walks outside below the sun.

**2. Homework Equations**

**3. The Attempt at a Solution**

**a)**

[tex]v_{\rm shadow}=\left \frac{H}{H-h} \right v_1[/tex]

**b)**

In this case,

**H >> h**, so

**v**.

_{shadow}=v_{man}Am I right? Thanks in advance for your replies.

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