Posted by **Jennifer** on Sunday, March 13, 2011 at 6:42pm.

A rod of length 1m lies in the lab frame making angle θ=30 with the

x-axis. Find the length and the angle it makes with the x’-axis as seen by

an observer moving at u=0.8c along the y-direction.

- Physics -
**drwls**, Sunday, March 13, 2011 at 6:53pm
The projection along the x axis, L*cos30, will not change due to relative motion, but the projection along the y axis will be shortened to

L*sin30*sqrt(1-(0.8)^2) = (L/2)*0.6 = 0.3 L

The new length is

L' = sqrt[(Lcos30)^2+(0.3L)^2]

= L*sqrt[.75 + .09] = 0.917 L

The new angle with the x axis is

arctan (0.3/0.866) = 19.1 degrees

## Answer this Question

## Related Questions

science - As seen in the lab frame a rocket A is moving to the right with speed ...

physics - A.An observer moving at a speed of 0.810 c relative to a rod measures...

College Physics - A uniform rod of mass M = 437.0 g and length L = 37.1 cm ...

physics - A thin non-uniform rod of length L=2.00 m and mass M=9.00 kg is free ...

Physics - A thin rod of length L and mass M rotates about a vertical axis ...

Modern Physics - (7) Show that if a particle moves at an angle θ with ...

physics - If a rod is moving at a velocity equal to 1/2 the speed of light ...

Physics - If a rod is moving at a velocity equal to 1/2 the speed of light ...

Physics - The rigid object shown in Fig. 10-63 consists of three balls and three...

Vectors (Physics/Math) - Vector A has a magnitude of 18 (in some unspecified ...