Dynamics — Quiz 2

Questions in this quiz (10)

1. A car travels around a circular curve of radius 180 m at a constant speed of 72 km/h. Assuming g = 9.81 m/s², determine the banking angle required for the car to negotiate the curve without relying on friction.

   • 11.6°
   • 12.8°
   • 18.4°
   • 21.3°

2. A spring with stiffness 3200 N/m is compressed 0.05 m from its natural length. Determine the elastic potential energy stored in the spring.

   • 2.0 J
   • 4.0 J
   • 6.0 J
   • 8.0 J

3. A ball traveling at 6 m/s strikes a stationary wall and rebounds at 3 m/s in the opposite direction. Determine the coefficient of restitution.

   • 0.25
   • 0.40
   • 0.50
   • 0.75

4. A flywheel starts from rest and rotates with a constant angular acceleration of 3 rad/s². Determine the total angle rotated during the first 8 seconds.

   • 48 rad
   • 72 rad
   • 96 rad
   • 128 rad

5. A 50 kg crate rests on a horizontal floor. The coefficient of static friction is 0.30. Determine the minimum force required to initiate motion.

   • 98.1 N
   • 147.2 N
   • 196.2 N
   • 245.3 N

6. A 3 kg ball attached to a string moves in a circular path of radius 1.5 m at a speed of 6 m/s. Determine the centripetal force acting on the ball.

   • 36 N
   • 48 N
   • 72 N
   • 96 N

7. A particle moves along the x-axis under a force F(x) = 4x² N, where x is in meters. Determine the work done as the particle moves from x = 0 to x = 3 m.

   • 18 J
   • 36 J
   • 72 J
   • 108 J

8. A flywheel has a mass moment of inertia of 3.0 kg·m² and rotates at 150 rpm. Determine the rotational kinetic energy.

   • 185 J
   • 308 J
   • 462 J
   • 615 J

9. A 4 kg ball moving at 10 m/s to the right collides with a 2 kg ball moving at 5 m/s to the left. If they stick together after impact, determine the velocity immediately after collision.

   • 3.3 m/s right
   • 5.0 m/s right
   • 6.7 m/s right
   • 2.5 m/s right

10. A wheel starts from rest and undergoes a constant angular acceleration of 5 rad/s². Determine the angular velocity after rotating through 120 radians.

    • 24.5 rad/s
    • 30.0 rad/s
    • 34.6 rad/s
    • 40.0 rad/s