A, B, P and T are surface beacons. Construct a circular dam of maximum radius, so that it passes through A and B and is tangential to the line PT at Q.

Given: Angle APT = 31:02:00

Co-ordinates in metres: Y
A: +90.970
B: -88.000
P: -435.660
Co-ordinates in metres: X
A: -1921.750
B: -1623.300
P: -1043.550

Calculate the co-ordinates of the tangent point Q and the radius of the circle passing through A, B and Q.

Transcribed Image Text:

Q.6 A particle moves in the xy-plane under the constraint that its velocity vector is always directed towards a point on the x-axis whose abscissa is some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is non-holonomic. Q.7 A bead of mass m slide with speed v around a horizontal hoop of radius R. What are the constraint force equations? Q.6 A particle moves in the xy-plane under the constraint that its velocity vector is always directed towards a point on the x-axis whose abscissa is some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is non-holonomic. Q.7 A bead of mass m slide with speed v around a horizontal hoop of radius R. What are the constraint force equations?

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