A system consisting of two identical thin uniform rods of mass M and length L and two particles each having mass m are shown in the figure. Find rotational inertia of the system: A) about an axis which passes through the point 0 (where the rods intersect) and perpendicular to the plane containing the rods B) about an axis AB, shown in the picture C) Hint: Rotational inertia of a thin uniform rod of mass M and length L about an axis which passes through its center of mass and perpendicular to its plane is given by ML^2 /12
Added by Rex F.
Close
Step 1
In the given picture, there are three objects: a solid disk, a hollow cylinder, and a solid sphere. Show more…
Show all steps
Your feedback will help us improve your experience
Ajay Singhal and 78 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A system consists of a point mass m = 0.22 kg and a uniform solid cylinder of mass M_cylinder = 1.8 kg and radius R = 0.4 m attached to both ends of a uniform rigid rod of mass M_rod = 1.8 kg and length L = 2.69 m, as shown in the figure. The system is free to rotate about the y axis, which is at a distance x away from the point mass. The y axis is parallel to the side of the cylinder and perpendicular to the length of the rod. Find the total moment of inertia of the system about the y axis if x = L. Express your answer using two decimal places. The center of mass rotational inertia I_rod = 1/12 ML^2 The center of mass rotational inertia I_cylinder = 1/2 MR^2
Linda W.
Rotational Inertia: Three light rods of negligible mass are joined to form an equilateral triangle of length L = 2.00 m. Three masses m1 = 9.00 kg, m2 = 4.00 kg, and m3 = 7.00 kg are fixed to the vertices of this triangle as shown in the diagram. Treat the masses as point particles. (a) What is the moment of inertia of the system about an axis lying in the plane of the triangle, passing through the midpoint of one side and the opposite vertex as shown by the dashed line? (b) What is the moment of inertia of the system about an axis passing through the center of the triangle and perpendicular to its plane?
Adi S.
Find the rotational inertia of the system of point particles shown in the figure assuming the system rotates about the (a) $x$ -axis, (b) $y$ -axis, (c) z-axis. The z-axis is perpendicular to the $x y$ -plane and points out of the page. Point particle $A$ has a mass of $200 \mathrm{g}$ and is located at $(x, y, z)=(-3.0 \mathrm{cm}, 5.0 \mathrm{cm}, 0)$ point particle $B$ has a mass of $300 \mathrm{g}$ and is at $(6.0 \mathrm{cm}, 0,0),$ and point particle $C$ has a mass of $500 \mathrm{g}$ and is at $(-5.0 \mathrm{cm},-4.0 \mathrm{cm}, 0)$ (d) What are the $x$ - and $y$ -coordinates of the center of mass of the system?
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD