What size tires are on the car now??
http://auto.howstuffworks.com/1960-1962-plymouth-valiant3.htm
Torsion-Aire front suspension incorporated Chrysler's well-respected torsion bars combined with 6.50X13 tires. Hotch**kiss-type rear suspension featured sea-leg shocks and a highly asymmetrical 55-inch leaf spring with 20 inches forward of the axle.
This arrangement played a major part in controlling body roll, acceleration squat, and brake dip. It was an excellent setup, but the irrepressible Tom McCahill found an unusual peculiarity in the car's handling. Reporting in the March 1960 issue of Mechanix Illustrated, McCahill wrote:
"Because the engine is mounted off-center to the right, the characteristics when you make a hard right turn are quite different from those when you make a hard left turn.
"When I first drilled this Valiant over the Daytona International Speedway sports car course, I found it the best-handling American car I've ever driven through a tight turn -- while bending to the right. When I hit a tight curve going to the left, I experienced a very deep plowing effect. Later, in making circling tests on the beach, I found that in left turns I could almost spin the Valiant on its nose in its own length. This is something the average American driver might never notice. ... But on a tough mountain road, if he descends too fast, he'll definitely feel the difference.
"This condition isn't dangerous but it is interesting."