Pulley System Dynamics and Kinematics

The video tutorial explains a physics problem involving a pulley system with a hanging box. It starts by describing the system's initial conditions and then uses kinematics to calculate the box's acceleration. The tutorial proceeds to derive the rotational inertia of the pulley by analyzing the forces and torque involved. The relationship between translational and rotational motion is explored, leading to the calculation of tension in the string and the rotational inertia of the pulley.

What is the outer radius of the large pulley in the system?

• 25 m

• 2 m

• 3 m

• 1.5 m

How long does it take for the box to strike the floor after being released?

• 3.0 seconds

• 0.5 seconds

• 1.1 seconds

• 2.5 seconds

What is the initial velocity of the box when it starts its motion?

• 2 m/s

• 0 m/s

• 10 m/s

• 5 m/s

Which kinematic equation is used to find the acceleration of the box?

• s = ut + 1/2 at²

• v = u + at

• s = vt

• v² = u² + 2as

What is the net force acting on the box?

• 3 N - Tension

• Tension + 3 N

• Tension - 3 N

• 3 N + Tension

What is the mass of the box in the system?

• 5 kg

• 3 kg

• 4 kg

• 2 kg

Which force does not produce torque on the pulley?

• Gravity on the pulley

• Tension in the string

• Force from the axle

• Friction at the axle

What is the relationship between tangential acceleration and angular acceleration?

• Tangential acceleration = Angular acceleration + Radius

• Tangential acceleration = Angular acceleration / Radius

• Tangential acceleration = Angular acceleration * Radius

• Tangential acceleration = Angular acceleration - Radius

What is the value of the angular acceleration (Alpha) of the pulley?

• 3.72 rad/s²

• 0.62 rad/s²

• 1.24 rad/s²

• 2.48 rad/s²

What is the rotational inertia of the pulley?

• 0.364 kg m²

• 0.750 kg m²

• 0.500 kg m²

• 0.250 kg m²