Calculate the translational speed of a cylinder when it reaches the foot of an incline 7.35 m high. assume it starts from rest a

Question

Dmitry_Shevchenko [17]

3 years ago

10

Calculate the translational speed of a cylinder when it reaches the foot of an incline 7.35 m high. assume it starts from rest a

nd rolls without slipping.

Physics

1 answer:

allochka39001 [22] · Answer 1 · 2022-02-08T03:23:32+03:00

The total kinetic energy will be equivalent to the potential energy;
The total kinetic energy is given by the sum of transitional kinetic energy and the rotational kinetic energy.
Rotational kinetic energy
I= 1/2mR², but rotational energy =1/2 I w²
Thus rotational energy is equal to 1/4 mR²w², which is equivalent to
= 1/4 mv² since v= wR
Thus;
Total kinetic energy = 1/2 mv² + 1/4 mv²
hence;
Mgh = 3/4 mv²
gh = 3/4 v² ( assuming g = 9.81 m/s²)
72.1035 = 3/4 v²
v = 9.805
= 9.805 m/s