C) The rate of rotation ... as the students walk outward. , D) The students prod

Question

C) The rate of rotation ... as the students walk outward. , D) The students produce a net torque on the plate. E) The total angular momentum of the system ... as the students walk outward. 6. [1 pt] A cylinder (r = 0.123 m, Icm = 1.714 X 10^-2 kg . m2, M = 1.39 kg) starts from rest and rolls without slipping down a plane with an angle of inclination of theta = 23.3. Find the time it takes it to travel 1.35 m along the incline. 7. [1pt] A sledgehammer with a mass of 2.20kg is con- nected to a frictionless pivot at the tip of its handle. The distance from the pivot to the center of mass is rcm = 0.560 m,

Explanation / Answer

Here ,

let the acceleration of the cyclinder is a

Now, using effective mass and Newton's second law

a = net force/(m + Icm/r^2)

a = Mg * sin(theta)/(M + Icm/r^2)

a = 1.39 * 9.8 * sin(23.3)/(1.39 + 1.714 *10^-2/.123^2)

solving for a

a = 2.14 m/s^2

Now, distance , d = 1.35 m

Using second equation of motion

d = u*t + 0.5 * at^2

1.35 = 0.5 * 2.14 * t^2

t = 1.12 s

the time taken to travel 1.35 m is 1.12 s

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