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Suggestions

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  1. A solid circular disk with radius R = 0.3 m and mass M = 5 kg is initially at rest. A constant torque of 15 N⋅m is applied to the disk for 4 seconds. If the disk rotates about its central axis perpendicular to its face, what is its final angular velocity in rad/s?

A) 100 rad/s B) 133.3 rad/s C) 200 rad/s D) 266.7 rad/s

  1. A 2-kg particle moves in uniform circular motion with a radius of 0.5 m. If the particle completes one revolution in 2 seconds, what is the magnitude of its centripetal acceleration?

A) 1.97 m/s² B) 4.93 m/s² C) 7.89 m/s² D) 9.87 m/s²

  1. A force F(t) = (4t + 2) N is applied to a 2-kg mass initially at rest. What is the velocity of the mass after 3 seconds?

A) 9 m/s B) 12 m/s C) 15 m/s D) 18 m/s

  1. A 100-kg elevator starts from rest and moves upward with constant acceleration, reaching a speed of 2 m/s in 4 seconds. What is the tension in the elevator cable during this motion?

A) 980 N B) 1030 N C) 1080 N D) 1130 N

  1. A solid sphere (I = 2/5MR²) of mass 4 kg and radius 0.2 m rolls without slipping down a 30° incline. What is its acceleration along the incline?

A) 3.27 m/s² B) 4.31 m/s² C) 5.45 m/s² D) 6.54 m/s²