Question

A small remote-controlled car with mass 1.60 kg moves at a constant speed of v= 12.0 m/s in a track formed by a vertical circle inside a hollow metal cylinder that has a radius of 5.00 m, see Fig below. What is the magnitude of the normal force exerted on the car by the walls of the cylinder at 5.00 m 3. point A (bottom of the track)? (20 points) 4. point B (top of the track)? (20 points)

Answer 1

Solna Giren data m (mass of can) = 1.6 kg. Il speed of car) = 12 m/s R( Radius of circular path) = 5m. * Normal force & weight of cas provide centripetal force to rotate in circulas path 3 B. ae 'mg Car R. ñ is the normal force exerted in the the walls of cylindes and ing is the gravitational weight To : ] A [ac=v² R. Fe= mv2 ſi of the can always acting Ymg 4 Contripetal force downwards as - the cas ir modeled particle in uniform circular motion in the vertical direction. Normal weight of the cas enables the Car to remain in its circular path. force and great A' A point a mu? Efy=n-mg = R. Scanned with CamScanner

muz R timg. mur Rtg) n 1.6 x 1222 5 + 9.8] Normal force at Bottom of Ans 618 N J track. (At pornt A) 4 At point B Efy=-n-ng -muz R. V2 n= mv2 mu --mg R-g) R 116 x 11222 9.8 n= 5 n= 30.4N Answa Normal force at point B CS Scanned with CamScanner