Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Moment of Inertia

Video

14:49

Sample Question Videos

Worksheet • 14 Questions • 1 Video

Q1:

A uniform rod of mass 1.0 kg and length 2.0 m is free to rotate about one of its ends, as shown in the accompanying diagram. If the rod is released from rest at an angle of 6 0 ∘ above the horizontal, what is the speed of the tip of the rod as it passes the horizontal position?

Q2:

The major and minor radii of a thin elliptical disk of uniform density are 2.00 m and 1.00 m, respectively. The disk has a mass of 1.00 kg. Determine the moment of inertia about an axis that is perpendicular with the disk’s surface and intersects the center of the disk.

Q3:

How do shear stresses and normal stresses differ?

  • AShear stresses act to slide parallel planes of material apart without changing separation, whereas normal stresses act to increase or decrease the separation between parallel planes of material.
  • BNormal stresses act within materials, whereas shear stresses act at the surfaces of materials.
  • CThey have different units.
  • DNormal stresses act at the surfaces of materials, whereas shear stresses act within materials.
  • EShear stresses are the absolute stresses, whereas normal stresses have been divided by the total stress.

Q4:

What is the dimension of mass moment of inertia?

  • A 𝑀 𝐿 2
  • B 𝑀 𝐿
  • C 𝑀 𝑇 𝐿
  • D 𝐿 4
  • E 𝑀 𝐿 3

Q5:

A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its centre of mass starts from the position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical?

  • A 1 0 ∘
  • B 1 2 ∘
  • C 7 . 9 ∘
  • D 1 1 ∘
  • E 8 . 9 ∘

Q6:

Which of the following formulas correctly expresses the relationship between the mass moment of inertia 𝐼 and the radius of gyration π‘˜ for an object of mass π‘š ?

  • A 𝐼 = π‘š π‘˜ 2
  • B 𝐼 = π‘š π‘˜ 1
  • C 𝐼 = π‘š π‘˜ 0
  • D 𝐼 = π‘š π‘˜ π‘š
  • E 𝐼 = π‘š π‘˜ βˆ’ 2

Q7:

A rod and a sphere are combined to form a system. The rod’s length 𝐿 is 0.50 m and its mass is 2.0 kg. The sphere’s radius 𝑅 is 20.0 cm and its mass is 1.0 kg. The system can rotate either about the point 𝐴 , at the opposite end of the rod to the sphere, or about the point 𝐡 , where the rod and the sphere connect, as shown in the diagram.