A point moves in the plane so that its tangential acceleration 
= a, and its normal acceleration 
n = bt 4 , where a and b are positive constants, and t is time. At the moment t = 0, the point was at rest. Find how the curvature radius R of the point ’ s trajectory and the total acceleration 
depend on the distance covered s.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
R = a 3 / 2bs, ω = a 
]
Sol. ω t = a
So, v = at = 
also, ω N = 
bt 4 = 
t 2 = 
and bt 4 = 
= 
R = 
ω = 
= ( ω N = 
= 
= 
)
ω = 
ω = 
.
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