REVISION QUIZ FOR FINAL EXAM

A CD rotates at a rate of 5 rad/s in the positive counter clockwise direction. After pressing play, the disk is speeding up at a rate of 2 rad/s². What is the angular velocity of the CD in rad/s after 4 seconds?

• 13 rad/s

• 12 rad/s

• 10 rad/s

• 2 rad/s

A body of moment of inertia 6 kg m² rotating with an angular velocity 2 rad/s has the same kinetic energy as a mass of 6 kg moving with a velocity of?

• 0.5 m/s

• 2 m/s

• 10 m/s

• 0.25 m/s

A sphere of radius 1 m and mass 1 kg along a horizontal plane with constant speed 1 m/s. It encounters an inclined plane at angle 50 degrees and climbs upward. Assuming that it rolls without slipping how far up the sphere will travel?

(I_CM = 2/5 MR²)

• 0.6 m

• 5 m

• 1 m

• 0.09 m

The angular velocity of a rotating disk with a radius of 2 m decreases from 6 rad/s to 3 rad/s in 2 seconds. What is the linear acceleration of a point on the edge of the disk during this time interval?

• 1 m/s²

• • -3 m/s²

• • - 1 m/s²

• 2 m/s²

A 515 kg roller coaster is at the bottom of a loop with a radius of 9.8 m. If the acceleration at the bottom of the loop is 20 m/s², Find the force exerted on the roller coaster by the loop at the bottom.

• 12 kN

• 11 kN

• 15 kN

• 10 kN

A 1 kg object, attached to a 0.5 m string, rotates in a horizontal circle with the string at an angle 30 degrees to the vertical line. Calculate the tension on the string.

• 7.22 N

• 10.11 N

• 12.55 N

• 11.33 N

A 1 kg object, attached to a 0.5 m string, does 4 horizontal circular motion in one second. Calculate the tension on the string.  

• 315.83 N

• 150.33 N

• 133.55 N

• 300.88 N

A 1.75 kg of object moves in SHM as follows: x = 4cos(1.33t-3π/2), where x in metre and t in second. Find total mechanical energy.

• 24.76 J

• 40.76 J

• 14.06 J

• 26.77 J

 The graph shows displacement versus time for a particle of a uniform medium as a wave passes to the left direction through the medium. If the wavelength of the wave is 0.2π m, Find the vibrational velocity of the particle when t = 0.01 s and x = 0.005 m.

• - 0.3028 m/s

• - 0.81 m/s

• - 0.28 m/s

• - 0.328 m/s

A block is attached to a ceiling by a spring of force constant, k. When pulled down and released, the block undergoes SHM. The motion of the block is shown in the graph, where x in centimetre and t in second. From the graph, where is the position of the block at 4 seconds?

• equilibrium

• amplitude

• maximum displacement

• in between equilibrium and amplitude