Posted by **jerf** on Sunday, January 16, 2011 at 8:44pm.

a ladder AP of length 5m inclined to a vertical wall is slipping over a horizontal surface with velocity 2m/s , when A is at a distance 3m from ground . what is the velocity of centre of mass at this moment?

- physics -
**bobpursley**, Sunday, January 16, 2011 at 9:27pm
Draw the diagram.

label the base of the ladder A, the top P, the corner O, and the cg C.

OA=3, AP=5, and you can compute OP as 4

OA^2+OP^2=AB^2

2 OA doa/dt +2 OP dop/dt=0 by taking the derivative (AB is a constant)

well, you know OA, OP, doa/dt=2, you can find dop/dt. At that instant, the center C has a velocity (1/2 doa/dt horizontal, and 1/2 dop/dt vertical)

so you have to add those two components as a vector

## Answer This Question

## Related Questions

- physics - a ladder AP of length 5m inclined to a vertical wall is slipping over ...
- Physics - A ladder ABC of length 20m is leaning against a wall at an angle from ...
- Physics - A Ladder of length L and mass m leans against wall at angle theta from...
- physics - A painter climbs a ladder leaning against a smooth wall. At a certain ...
- Physics- PLEASE HELP - A painter climbs a ladder leaning against a smooth wall...
- math - A uniform ladder of length 2a and mass m lies on a vertical plane with ...
- physics - Bill the firefighter stands on an 8 meter ladder of weight 355 Newtons...
- Physics - A uniform ladder of length 20.0m and weight 750 N is propped up ...
- PHYSICS - A uniform ladder of length 20.0m and weight 750 N is propped up ...
- Physics - A uniform ladder of length 20.0m and weight 750 N is propped up ...

More Related Questions