03. Moment of Inertia, Radius of Gyration
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Rotational Motion

150160 A uniform bar of mass \(M\) and length \(L\) is bent in the form of an equilateral triangle. Find the moment of inertia of the triangle about an axis passing through the centre of mass and perpendicular to the plane of the triangle

1 \(\mathrm{ML}^{2}\)
2 \(\mathrm{ML}^{2} / 2\)
3 \(\mathrm{ML}^{2} / 27\)
4 \(\mathrm{ML}^{2} / 54\)
J and K-CET-2019
Rotational Motion

150161 A long cylindrical rod is welded to a thin circular disc of diameter \(0.5 \mathrm{~m}\) at a point on its circumference. The rod is in the same plane as that of the disc and forms a tangent to the disc. The radius of gyration of the disc about the rod (in \(\mathbf{m}\)is

1 \(\frac{1}{4}\)
2 \(\frac{\sqrt{5}}{8}\)
3 \(\frac{1}{2}\)
4 \(2 \sqrt{2}\)
TS- EAMCET-03.05.2019
Rotational Motion

150162 A wheel of radius \(8 \mathrm{~cm}\) is attached to a support so as to rotate about a horizontal axis through its centre. A string of negligible mass wrapped around its circumference carries a mass of 0.4 \(\mathrm{kg}\) attached to its free end. When the mass is released, its descends through \(1 \mathrm{~m}\) in 10 seconds, then its moment of inertia is (Acceleration due to gravitv, \(g=10 \mathbf{~ m s}^{-2}\)
original image

1 \(1.277 \mathrm{~kg} \mathrm{~m}_{2}^{2}\)
2 \(2.177 \mathrm{~kg} \mathrm{~m}^{2}\)
3 \(21.77 \mathrm{~kg} \mathrm{~m}^{2}\)
4 \(12.77 \mathrm{~kg} \mathrm{~m}^2\)
AP EAMCET (23.04.2019) Shift-I
Rotational Motion

150163 A thin wire of length \(l\) having a linear density \(\rho\) is bent into a circular loop with \(C\) as its centre as shown in the figure. The moment of inertia of the loop about the line \(A B\) is

1 \(\frac{5}{16} \frac{\rho l^{3}}{\pi^{3}}\)
2 \(\frac{1}{16} \frac{\rho l^{3}}{\pi^{3}}\)
3 \(\frac{1}{8} \frac{\rho l^{3}}{\pi^{3}}\)
4 \(\frac{3}{8} \frac{\rho l^{3}}{\pi^{2}}\)
AP EAMCET (22.04.2019) Shift-I
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Rotational Motion

150160 A uniform bar of mass \(M\) and length \(L\) is bent in the form of an equilateral triangle. Find the moment of inertia of the triangle about an axis passing through the centre of mass and perpendicular to the plane of the triangle

1 \(\mathrm{ML}^{2}\)
2 \(\mathrm{ML}^{2} / 2\)
3 \(\mathrm{ML}^{2} / 27\)
4 \(\mathrm{ML}^{2} / 54\)
J and K-CET-2019
Rotational Motion

150161 A long cylindrical rod is welded to a thin circular disc of diameter \(0.5 \mathrm{~m}\) at a point on its circumference. The rod is in the same plane as that of the disc and forms a tangent to the disc. The radius of gyration of the disc about the rod (in \(\mathbf{m}\)is

1 \(\frac{1}{4}\)
2 \(\frac{\sqrt{5}}{8}\)
3 \(\frac{1}{2}\)
4 \(2 \sqrt{2}\)
TS- EAMCET-03.05.2019
Rotational Motion

150162 A wheel of radius \(8 \mathrm{~cm}\) is attached to a support so as to rotate about a horizontal axis through its centre. A string of negligible mass wrapped around its circumference carries a mass of 0.4 \(\mathrm{kg}\) attached to its free end. When the mass is released, its descends through \(1 \mathrm{~m}\) in 10 seconds, then its moment of inertia is (Acceleration due to gravitv, \(g=10 \mathbf{~ m s}^{-2}\)
original image

1 \(1.277 \mathrm{~kg} \mathrm{~m}_{2}^{2}\)
2 \(2.177 \mathrm{~kg} \mathrm{~m}^{2}\)
3 \(21.77 \mathrm{~kg} \mathrm{~m}^{2}\)
4 \(12.77 \mathrm{~kg} \mathrm{~m}^2\)
AP EAMCET (23.04.2019) Shift-I
Rotational Motion

150163 A thin wire of length \(l\) having a linear density \(\rho\) is bent into a circular loop with \(C\) as its centre as shown in the figure. The moment of inertia of the loop about the line \(A B\) is

1 \(\frac{5}{16} \frac{\rho l^{3}}{\pi^{3}}\)
2 \(\frac{1}{16} \frac{\rho l^{3}}{\pi^{3}}\)
3 \(\frac{1}{8} \frac{\rho l^{3}}{\pi^{3}}\)
4 \(\frac{3}{8} \frac{\rho l^{3}}{\pi^{2}}\)
AP EAMCET (22.04.2019) Shift-I
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Rotational Motion

150160 A uniform bar of mass \(M\) and length \(L\) is bent in the form of an equilateral triangle. Find the moment of inertia of the triangle about an axis passing through the centre of mass and perpendicular to the plane of the triangle

1 \(\mathrm{ML}^{2}\)
2 \(\mathrm{ML}^{2} / 2\)
3 \(\mathrm{ML}^{2} / 27\)
4 \(\mathrm{ML}^{2} / 54\)
J and K-CET-2019
Rotational Motion

150161 A long cylindrical rod is welded to a thin circular disc of diameter \(0.5 \mathrm{~m}\) at a point on its circumference. The rod is in the same plane as that of the disc and forms a tangent to the disc. The radius of gyration of the disc about the rod (in \(\mathbf{m}\)is

1 \(\frac{1}{4}\)
2 \(\frac{\sqrt{5}}{8}\)
3 \(\frac{1}{2}\)
4 \(2 \sqrt{2}\)
TS- EAMCET-03.05.2019
Rotational Motion

150162 A wheel of radius \(8 \mathrm{~cm}\) is attached to a support so as to rotate about a horizontal axis through its centre. A string of negligible mass wrapped around its circumference carries a mass of 0.4 \(\mathrm{kg}\) attached to its free end. When the mass is released, its descends through \(1 \mathrm{~m}\) in 10 seconds, then its moment of inertia is (Acceleration due to gravitv, \(g=10 \mathbf{~ m s}^{-2}\)
original image

1 \(1.277 \mathrm{~kg} \mathrm{~m}_{2}^{2}\)
2 \(2.177 \mathrm{~kg} \mathrm{~m}^{2}\)
3 \(21.77 \mathrm{~kg} \mathrm{~m}^{2}\)
4 \(12.77 \mathrm{~kg} \mathrm{~m}^2\)
AP EAMCET (23.04.2019) Shift-I
Rotational Motion

150163 A thin wire of length \(l\) having a linear density \(\rho\) is bent into a circular loop with \(C\) as its centre as shown in the figure. The moment of inertia of the loop about the line \(A B\) is

1 \(\frac{5}{16} \frac{\rho l^{3}}{\pi^{3}}\)
2 \(\frac{1}{16} \frac{\rho l^{3}}{\pi^{3}}\)
3 \(\frac{1}{8} \frac{\rho l^{3}}{\pi^{3}}\)
4 \(\frac{3}{8} \frac{\rho l^{3}}{\pi^{2}}\)
AP EAMCET (22.04.2019) Shift-I
For More Updates join with Us
Rotational Motion

150160 A uniform bar of mass \(M\) and length \(L\) is bent in the form of an equilateral triangle. Find the moment of inertia of the triangle about an axis passing through the centre of mass and perpendicular to the plane of the triangle

1 \(\mathrm{ML}^{2}\)
2 \(\mathrm{ML}^{2} / 2\)
3 \(\mathrm{ML}^{2} / 27\)
4 \(\mathrm{ML}^{2} / 54\)
J and K-CET-2019
Rotational Motion

150161 A long cylindrical rod is welded to a thin circular disc of diameter \(0.5 \mathrm{~m}\) at a point on its circumference. The rod is in the same plane as that of the disc and forms a tangent to the disc. The radius of gyration of the disc about the rod (in \(\mathbf{m}\)is

1 \(\frac{1}{4}\)
2 \(\frac{\sqrt{5}}{8}\)
3 \(\frac{1}{2}\)
4 \(2 \sqrt{2}\)
TS- EAMCET-03.05.2019
Rotational Motion

150162 A wheel of radius \(8 \mathrm{~cm}\) is attached to a support so as to rotate about a horizontal axis through its centre. A string of negligible mass wrapped around its circumference carries a mass of 0.4 \(\mathrm{kg}\) attached to its free end. When the mass is released, its descends through \(1 \mathrm{~m}\) in 10 seconds, then its moment of inertia is (Acceleration due to gravitv, \(g=10 \mathbf{~ m s}^{-2}\)
original image

1 \(1.277 \mathrm{~kg} \mathrm{~m}_{2}^{2}\)
2 \(2.177 \mathrm{~kg} \mathrm{~m}^{2}\)
3 \(21.77 \mathrm{~kg} \mathrm{~m}^{2}\)
4 \(12.77 \mathrm{~kg} \mathrm{~m}^2\)
AP EAMCET (23.04.2019) Shift-I
Rotational Motion

150163 A thin wire of length \(l\) having a linear density \(\rho\) is bent into a circular loop with \(C\) as its centre as shown in the figure. The moment of inertia of the loop about the line \(A B\) is

1 \(\frac{5}{16} \frac{\rho l^{3}}{\pi^{3}}\)
2 \(\frac{1}{16} \frac{\rho l^{3}}{\pi^{3}}\)
3 \(\frac{1}{8} \frac{\rho l^{3}}{\pi^{3}}\)
4 \(\frac{3}{8} \frac{\rho l^{3}}{\pi^{2}}\)
AP EAMCET (22.04.2019) Shift-I
NEET DIGITAL LIBRARY