2. Group: v=10 m/s, r=1 m, VG=4 m/s, VG=6 m/s

At the given moment, the block is moving horizontally to the right with a velocity of v. A cylinder with a radius r is rotating counterclockwise with an angular velocity of co without slipping. Determine the velocity of the center of mass of the cylinder (VG) in the given units. And if the velocity is horizontally to the right, calculate the angular velocity of the cylinder (co) using the numerical values in your group.

G

B

Solved step by step with explanation: calculate the angular velocity of the cylinder (∞) using the numerical values in your group.

v = 6 m/s

r = 1-2 m (Assuming a range of possible values for r)

VG = v_rot - v

Now, we can substitute the given values to calculate VG.

VG = 4 m/s, VG = 6 m/s

To find ∞, we can use the formula for the velocity due to rotation at a point on the cylinder's edge.

r = 1 m

VG = 6 m/s

VG = 6 m/s

We can rearrange the equation VG = v_rot - v to solve for v_rot:

To find the angular velocity (co), we can use the formula:

v_rot = co * r

co = 16 rad/s

Therefore, assuming the given values for the second group, the angular velocity of the cylinder (co) is 16 rad/s.