State the MI of a thin rectangular plate-of mass M, length l and breadth b- about an axis passing through its centre and parallel to its length. Hence find its MI about a parallel axis along one edge.
Q 93
Download our app for free and get started
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A compound object is formed of a thin rod and a disc attached at the end of the rod. The rod is $0.5 \mathrm{~m}$ long and has mass $2 \mathrm{~kg}$. The disc has mass of $1 \mathrm{~kg}$ and its radius is $20 \mathrm{~cm}$. Find the moment of inertia of the compound object about an axis passing through the free end of the rod and perpendicular to its length.View Solution
- 2View SolutionExpress the kinetic energy of a rotating body in terms of its angular momentum.
- 3A thin rod of uniform cross section is made up of two sections made of wood and steel. The wooden section has length $50 \mathrm{~cm}$ and mass $0.6 \mathrm{~kg}$. The steel section has length $30 \mathrm{~cm}$ and mass $3 \mathrm{~kg}$. Find the moment of inertia of the rod about a transverse axis passing through the junction of the two sections.View Solution
- 4View SolutionFind the ratio of the radius of gyration of a solid sphere about its diameter to the radius of gyration of a hollow sphere about its tangent, given that both the spheres have the same radius.
- 5View SolutionWhat is the recommendations on loading a vehicle for not toppling easily?
- 6View SolutionAssuming the expression for the MI of a uniform solid sphere about its diameter, obtain the expression for its moment of inertia about a tangent.
- 7View SolutionUsing the energy conservation, derive the expressions for the minimum speeds at different locations along a vertical circular motion controlled by gravity. Is zero speed possible at the uppermost point? Under what condition/s? Also prove that the difference between the extreme tensions (or normal forces) depends only upon the weight of the object.
- 8View SolutionFly wheels used in automobiles and steam engines producing rotational motion have discs with a large moment of inertia. Explain why?
- 9View SolutionFour particles of masses 0.2 kg, 0.3 kg, 0.4 kg and 0.5 kg respectively are kept at comers A, B, C and D of a square ABCD of side 1 m. Find the moment of inertia of the system about an axis passing through point A and perpendicular to the plane of the square.
- 10A stone of mass $2 \mathrm{~kg}$ is whirled in a horizontal circle attached at the end of a $1.5 \mathrm{~m}$ long string. If the string makes an angle of $30^{\circ}$ with the vertical, compute its period.View Solution