GEO 106 : Spatial Concepts and Spatial Dynamics

Force vec F = -10 hat j N is exerted on a particle at vec r = (4hat i + 5 hat j) m

Tx, Ty, Tz in N*m...?

Force F = (4.0 N)i + (-3.0 N)k acts on a pebble with positionvector r = (0.40 m)j + (-0.8k m)k , relative to the origin. What isthe resulting torque acting on the pebble about a point withcoordinates (-8.0 m, 8.0 m, -2.0 m)? Answer as a vector. I know τ =r - r₁ x F.

A luge and its rider, with a total mass of 115 kg, emerge from adownhill track onto a horizontalstraight track with an initialspeed of 40m/s. Assume that they stop with a constant decelerationof1.8 m/s².