Question

Determine the angular acceleration of each of the two wheels as they roll without slipping down the inclines for wheel A. Investigate the case where the mass of the rim and spokes is negligible.

a. Use the kinematic equation
b. Apply Newton's second law
c. Employ the work-energy theorem
d. Utilize torque and moment of inertia

Answer 1

To determine the angular acceleration of the wheels as they roll down inclines without slipping, utilizing torque and moment of inertia is the most appropriate method.

Therefore, option d. Utilize torque and moment of inertia is correct.

Step-by-step explanation:

To determine the angular acceleration of the wheels as they roll down inclines without slipping, utilizing torque and moment of inertia is the most appropriate method.

When analyzing rotational motion, especially in cases of rolling without slipping, torque and moment of inertia provide a comprehensive approach. Torque relates to the rotational analog of force, and moment of inertia accounts for the distribution of mass around the axis of rotation. These parameters play a crucial role in understanding the rotational dynamics of the wheels.

By applying the rotational form of Newton's second law, τ = Iα (torque equals moment of inertia times angular acceleration), you can systematically analyze the motion of the wheels down the inclines. This approach ensures accurate calculations by considering the specific characteristics of rotational motion.

Therefore, option d. Utilize torque and moment of inertia is correct.