1. Convert 4.2 radians to degrees.
2. A central angle that subtends (opens) an arc-length of 8 m in a certain circle has a radian measure of 2 rad. Calculate the radius of the circle.
3. An object is revolving in a circular path of radius 14 m with a uniform speed. If it takes 0.5 s to make one complete revolution, calculate the speed with which it is revolving.
4. An object of mass 1.8 kg is revolving in a circular path of radius 18 m with a uniform speed. If it makes 0.5 cycles per second, calculate the force responsible for this motion.
5. Which of the following statement is not correct?
6. An object is revolving in a circular path of radius 2 m with an angular acceleration of 32 rad ⁄ s 2. Calculate its tangential acceleration.
7. Starting with an angular speed of 12 rad ⁄ s, an object was accelerated uniformly on a circular path of radius 2.8 m with an acceleration of 7 rad ⁄ s 2 for 30 s. Calculate its final linear speed.
8. If the distance between two objects is multiplied by a factor of 10 , then the gravitational force between the objects is multiplied by a factor of...
9. Object 1 and Object 2 are located on the x-axis at x = 1700 m and x = 1800 m respectively. What is the direction of the gravitational force exerted by object 1 on object 2?
10. A car of mass 2000 kg is turning on a curve of radius of curvature 100 m. The coeffient of friction between the tires of the car and the ground is 0.175. Calculate the centripetal force that keeps it in the circular path.
11. The principle of conservation of angular momentum states that...
12. A horizontal lever of length 1.2 m is pivoted at its mid-point. An downward force of 21 N is acting at the right end of the lever. Calculate the torque acting on the lever.
13. A uniform horizontal lever of length 5.6 m is pivoted at its mid-point. The following forces are acting on the lever: a 0.23 N downward force (with downward vertical component) that makes an angle of 40 deg acting at the right end of the lever, a 4 N vertically downward force acting at the left end of the lever, and a 7 N vertically downward force acting at a point on the lever 0.5 m away from the left end. Calculate the net torque acting on the lever.
14. A uniform horizontal lever of length 4 m pivoted at its mid-point is in equilibrium. The following forces are acting on the lever: a 11 N upward force (force with upward vertical component) that makes an angle of 40 deg with the horizontal-left acting at the right end of the lever, a 8 N vertically downward force acting at the left end of the lever, and an unknown vertically downward force acting at a point on the lever 0.6 m away from the right end. Calculate the magnitude of the unknown force.
15. Three particles of masses 8 kg, 3 kg and 9 kg are located at the points ( 3, 1 ) m, ( -11, 5 ) m, and ( 14, 1 ) m respectively. Determine the location of the center of gravity of the three particles.
16. What is the SI unit of measurement for moment of inertia?
17. Three particles of masses 3.3 kg, 4.5 kg and 1.7 kg are located at the points ( 3, 4 ) m, ( 1, -3 ) m, and ( -4, 5 ) m respectively. Calculate the moment of inertia of these system of particles if the axis of rotation is the y-axis.
18. Three particles of masses 5.3 kg, 1.5 kg and 2.7 kg are located at the points ( -3, 2 ) m, ( -8, -4 ) m, and ( 2, 0 ) m respectively. Calculate the rotational kinetic energy of this system of particles if they are revolving around the y-axis with an angular velocity of 24 rad ⁄ s.
19. A spherical object of mass 3.5 kg and radius 0.018 m is rolling on a horizontal surface with a speed of 4 m ⁄ s. Calculate its kinetic energy. ( Isphere = 2MR 2 / 5 )
20. The angular momentum of a spherical object revolving about an axis passing through its center increased from 5 J s to 23 J s in 11 s. Calculate the torque acting on it.
21. A skater whose moment of inertia is 5.25 kg m 2 is revolving with an angular speed of 6 rad ⁄ s. She decreases her angular speed to 4.3 rad ⁄ s by extending her hands. Calculate her new moment of inertia.
22. Stress is a physical quantity...
23. An aluninum wire has a length of 6 m and a cross-sectional radius of 0.004 m. Calculate the change in its length when an object of weight 30 N hangs from the wire. (modulus = 7e10 Pa)
24. A cylinderical object of height 0.055 m and radius 0.03 m is resting on the top of a table. The density of the object is 7e3 kg ⁄ m 3. Calculate the pressure exerted by the weight of the cylinder on the table.
25. In an open manometer filled with mercury (densty = 13600 kg ⁄ m 3 ), the level of mercury column in the air side is 0.05 m higher than that in the gas side. Determine the pressure of the gas. Atmospheric pressure is 1e5 Pa.
26. To what height would a mercury (density = 13600 kg ⁄ m 3 ) barometer rise at a place where atmospheric pressure is 7.5e4 Pa?
27. The statement 'An object immersed in a fluid is acted upon by an upward force equal to the weight of the displaced fluid.' is referred as...
28. An object of volume 2e-6 m 3 and density 8000 kg ⁄ m 3 is immersed inside a fluid of density 4500 kg ⁄ m 3. Calculate the force exerted by the fluid on the object.
29. An object of volume 3e-5 m 3 and density 550 kg ⁄ m 3 is floating in a fluid of density 1250 kg m 3. Calculate the volume of the object exposed above the surface of the fluid.
30. Tube 1 and tube 2 are connected together. A fluid flowing through these tubes has a speed of 20 m ⁄ s in tube 1 and a speed of 11 m ⁄ s in tube 2. Calculate the ratio of the cross-sectional radius of tube 2 to the cross-sectional radius of tube 1.
30. Two tubes of different cross-sectional radii are connected horizontally. A fluid of density 1500 kg ⁄ m 3 enters the first tube with a speed of 2.25 m ⁄ s. The cross-sectional radius of the first tube is 0.04 m and that of the second tube is 0.17 m. If the pressure of the fluid in the first tube is 6e3 Pa, calculate the pressure of the fluid in the second tube.