Classical Mechanics (Kibble & Berkshire) · Problem 11.17

Lagrange's equations and conservation principles — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · leaning-triangular-panel

Problem

Leaning triangular panel A rough floor lies in the horizontal plane

z = 0

and the planes

x = 0

y = 0

are occupied by smooth vertical walls. A rigid uniform triangular panel

ABC

has mass

m

. The vertex

A

of the panel is placed on the floor at the point

(2, 2, 0)

and the vertices

B

C

rest in contact with the walls at the points

(0, 1, 6)

(1, 0, 6)

respectively. Given that the vertex

A

does not slip, find the reactions exerted by the walls. Deduce the reaction exerted by the floor.