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  A uniform ladder AB of length 6m and mass 40kg rests in a vertical ...
 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 ladder of mass M and length L leans against a wall as shown. There is ...
More Related Questions