Question
A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centrer is 3.2 cm, what is the shift in the center of mass of the disc...
- -0.4 cm
- -2.4 cm
- -1.8 cm
- 1.2 cm
The correct answer is: -0.4 cm
Related Questions to study
Let be the moment of inertia of a uniform square plate about an axis AB that passes through its center and is parallel to two of its sides CD is a line in the plane of the plate that passes through the center of the plate and makes an angle of Q with AB. The moment of inertia of the plate about the axis CD is then equal to....
Let be the moment of inertia of a uniform square plate about an axis AB that passes through its center and is parallel to two of its sides CD is a line in the plane of the plate that passes through the center of the plate and makes an angle of Q with AB. The moment of inertia of the plate about the axis CD is then equal to....
If
is positive, then
lies between
If
is positive, then
lies between
If
then the Δk is
If
then the Δk is
If
then
=
If
then
=
If
and
,
then ![T a n invisible function application left parenthesis A plus B right parenthesis equals](data:image/png;base64,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)
If
and
,
then ![T a n invisible function application left parenthesis A plus B right parenthesis equals](data:image/png;base64,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)
In a
If
then ![T a n invisible function application fraction numerator C over denominator 2 end fraction equals](data:image/png;base64,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)
In a
If
then ![T a n invisible function application fraction numerator C over denominator 2 end fraction equals](data:image/png;base64,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)
Assertion (A): If
then ![cot invisible function application x coty equals 2](data:image/png;base64,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)
Reason (R): If
then ![fraction numerator a plus b over denominator a minus b end fraction equals fraction numerator c plus d over denominator c minus d end fraction](data:image/png;base64,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)
Assertion (A): If
then ![cot invisible function application x coty equals 2](data:image/png;base64,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)
Reason (R): If
then ![fraction numerator a plus b over denominator a minus b end fraction equals fraction numerator c plus d over denominator c minus d end fraction](data:image/png;base64,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)
Concentrations of the atmospheric
have been rising becaue of
Concentrations of the atmospheric
have been rising becaue of
Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their center and perpendicular to their planes will be in the ratio
Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their center and perpendicular to their planes will be in the ratio
of
(alum) can be replaced by
of
(alum) can be replaced by
If the sides of triangles are 8,15,17 then radius of the Circumcenter is
In this question, we have to find the radius of the circumcenter. The given sides of triangle is triad of the Pythagoras theorem then the triangle is right angled.
If the sides of triangles are 8,15,17 then radius of the Circumcenter is
In this question, we have to find the radius of the circumcenter. The given sides of triangle is triad of the Pythagoras theorem then the triangle is right angled.
A thin wire of length L and uniform linear mass density
is bent in to a circular loop with center at O as shown in figure. The moment of inertia of the loop about the axis xx’ is ....
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPkAAACDCAYAAABP9r03AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABOMSURBVHhe7Z1djFZFmserBQFnRhR3XVkdsCGC7QXtQkTSTJRMz8CsBNiscLFBMJs0GINwQdArhGz4uFEIJgibIJgNINkoSFYI7K4KabkggIG1ubCRzdB2j4ojiuLMLH60ve+vuqqpPn3e836d8/Z7Tj2/5OSt89Ef76nzP89TTz1VVaeU6nnyySfV2rVr1ZgxY3K7giDUIl1dXWrdunVq9+7d5kgvnZ1dphRO3ZYtW3qWLVtmdgVBqHW2b9+uVq5cafYKi/wmLh4+fLjejh07pg82NDT0HWPbtGmTPi4IQnLs3LlTjRgxYsDm6o8ymn3kkUfMkcJod53CyZMn1ZQpUyhqFi5cqC5duqT27dunxo0bZ44KgpAkGNrZs2ebPaVee+01NX/+fLPXC9c89thj6vHHH1dvvvlmYUtuPrWor169qstnz57VnwhfBC4I1aO5uVlt2LDB7Cm1evXqPl1aOLZx40b1wgsvmCPRDMlZ73/57LPP1Ndff60PjB8/XrW0tGgLfsstt+hjgiBUj+nTp6u9e/dqTbKNGjVKHwPc9Q8//FC9+uqr6rbbbstZ8c7ci+E3+lw+6trb23tog1tw2cVFF4TB5cCBA+qJJ57Q5dtvv10LGx544IF+HvbBgwdzL4Bf6XI+6r777rse3g64AMAP80t4e4RBIK6ujqa8IAiVcv36dVMaCO3u48eP6zLeNaDPZ599VpeBbrVhw4abvXC0yCk0NTX1tcWXLFmitm3bpstBROSCEB9RIifwjeW2TJ48WRtgl+7ubnXlypdmLxwdeMM14A1hrTehfI4JgjB4oMlVq1aZPTUgyg5DhgwxpfzU5d4MPc8884x+Q5Titgvx8vHHH+tMJjZcsELQT0rg5cEHH1T33nuvqq+v18cbGxt1Gy4M/gYbdHR06PIHH3ygvvnmG3XixAl9PAoyIsmOZONvCsmDJp9//nldJuruuuqWzz//oymFU9fc3NxDoM2KmXaATYrhzcE5ITkQ9Z49eyJFhrhmzJihHn30US1qtiRA8Gzvvfeeam1tjXzZ8JJZvHixFryQHLGIPCfiHtcNoE+OdoDtm+OX0icnxAfdIlu3bo202oho3rx5ehssq4mlf+utt/SW7yVkrfuKFSvyehBC+eBZb968WZdx3cO0WFDkua2HDvijR4/qAwTWguC6t7e3mz2hXKy42a5du2aODuSll15STz/9tNmrDfjf8Th4MZ0/f94cvcHIkSO10EXs8RDMfHM5cuSITpqxFBS5ja4LybJ+/fpQcSMOrDU5ygQ8Aet48eJFXa4EfidERXDLAZee74KFD/s+CH3NmjXmiJA0IvJBBiHgZgXd8qDlw1JOnDixTzS4aZUKJSmRW6I8E15UuJm8wIRkEZEPErRnEffhw4fNkV6i3FqsvW1zcd2ZM2cqao8nLXJLlNjnzJmjxS7R+OQQkQ8Cu3PtVgKWwQeerkqsc742a9CaI5D9+/frcjlUS+QW/n9eVMFEKl5YRIklEp8MIvIqwkNOtmDQehMpp71djDXjBfHUU0+ZPaVef/31sl3eaovcghfDfQhG5HlpcR8kMBcvIvIqQTBqwYIF/dreWDAsN655KcycObNPIJW47YMlcgvuO5bd9Whoq+OdJNXX7yMi8ioQtL5QivUOgiWcOnVqnzgmTZqkhZ5G8ln1HTt2iPseE4VE3jdphFAeBNeCAicy/vbbb5cdbOLnaMNa6JdGKGmE78K9sOnSFu6Zm5ctJIdY8gpAeAzut+Ba44qSfhoHwd9P4M5mP6UR0mVp0rju+6JFi/ryA4TyEHc9AQiw0W52M79wqRF4udY7H7jt7t958cUXS27j1xK47wg9eO+w9hKQKw9x12MmTOBEjStxz6Pg9yICy3PPPZda1x2s+849s3AvuafcWyF+ROQlECZw3E0seFJWiN8bFDoufJpFwXfinnHvLCL05BCRl0CYwKvRngwTOtFqEmeI7OeDLjTbjVaLcO/ChC7Ei4i8SHCRB0PgFit0VxQEsIhST5gwIVLstUyY0NPcHKlFJPBWBHT1uKma1RZ4EAa9IAQ3Sg1E9+3EEkwyMWvWLH18sJJhSiFrPQnVRKLrFYKFdPvBK80njwvaruTHu8LIRxpEDkTd3ZRgSZgpDhF5BZCqOm3aNLNXm109dEnxImLLN8tMWkQeFtg8deqUpMAWQEReJjxw9FGzQgUwaWKlQz+Txs7PxiSNbW1tugy5OtafaSCY0kuuO/e9ll6stYaIvExwHQ8dOmT2evur48pkE6Lh5WTjCVArTaRaRZJhygDX1xU4s2WKwKsH99rNdaedTp0I5SEiD4C76E57ywNX6TRMzHxLtNiu926XhQ5CxD7fNfwOjnFu9OjRmV/8gnvOSD4LdSKJMuUhIg9AdxmLDQDt8Di6yph1k9/DjLfMY49Amd/eFTGjzngR0FVHG5olq7jGTo3NeX7u8uXL+oF3l5rOKtwzugWBNrr0n5eHiNyB/mfXTceaVBpo40FFsExrzcYc96wci8DtcFLEast2Dnw+uWbXrl163/4OFsGwQahz587pz6zCvXe9KNx26kgoDRG5gzu+GTc9jtFeYUJErGBdbubYtlbZrmRjP+01vBhwV7nOegAsgJd1qAPXbZcx6KUjIjcwTZHtLoM43HSw4nXbk1bk9pzrtgex53DRmVCf9jjW3V3aKh+2fZ923LogF4C6EopHRJ4DATIfmWX58uWx9Ye7gg5aa4s9Hob7Mwib9jrtcndpq6xDXRCvsFBXEoQrHhF5Dh4aN9hWaTTdxQ0W2Xa3tc644CAPbGGoEzcI576UhWi8F3nQioctelAJWHLWmeMTkTc0NKh3331Xn7PW2Fr7MAq55L5AnbgxErHmxeO9yINWPImplWhL032Gq43gseSIt6WlRZ+PEnnUOd+gbsSal473InczqeK24kFs3ze4gTNeArZs2+D206e2dyGC1lyy4IrDa5HzkLgDUJKw4kA3GIGjpqYmvX/y5Ml+S88icJtlZ7vM+MSKW2tfDngObFnCteZE2kXohfFa5Ky3bWEpoiSsOJab7DQgmw233QbcXBA55236K9fg2kubvD/UkbtslFuHQjjejkIjR5050iynT5+WccspITjO/8KFCzU9BDhpZBRaHlw3r7GxUQSeIqgrd1JLcdmjEZHnkCmG0odbZyLyaLx013H3Hn74YbOHu/N5olF1IX7oIyfF1+LzNFHirodgp0WCuXPnZlbgWcldD4M6cweuuHUq9MdLkbvuHVMXC+nEjbLLENT8eOeu4+bdddddZk+pjz76KLORWWvFs9ZXbqGH5P777zd7Sg/c8bHZJe56ANetGzt2rNddL2mHumM2V4u47OF4J3KCbhZx1dOPW4du3Qo38NqSywys6cetQ7Hk4XhtybPe5UJbPKvtcYtbh2LJw/FK5ARq3EUCJcst/bh1SN1Sx0J/vBO5RVz17OD2l4vIB+KVyFtbW02pd2ipkA3cuhSXfSDetckt4qpnB7cuZUqogXglcjf6Kv3j2cGtS4mwD8RbS15fX29K2YO0XVZltbnrlLM8UivLdRkH3oo8i+Cqsoj/0qVL+y33RJljnBN31j+8yl0fMWKE/uzp6clkzjoiLuSu0qvAWutZIpjDfv36dVPyA8ldz0PWBI47Xkx7lGuy5rpLfCUacdczQilDLWVYpl+IyDOCXSCiGEq5Vkg/InJByDgi8oxQSgafZPv5hYg8I7hTIRWilGuF9OOtyLPWX8wUxcUMuuGarE1BLYNSovFK5O5opba2NlPKDm+88Uak0DnHNVnDFblbx0Iv4q5nCCYxJNHllVde0VNNI2o2yhzjnMwv7x/eiryjo8OUsgfu+P79+7Wo2ShneZWYLNdlHHglcteVlXZcdnDrMqq54iveWnKZXCA7SF1G45XI3el7fcr6unTpklq9enXf0FO7sRb62bNnzVXpxa1LmWZ7IF6J3MfJBQ4cOKAaGhrUpk2b1LZt2/pmcN23b58+19TUpHbu3GmuTicnTpwwJRmsEoZ3Ih85cqTZy76bh5VeuHChLm/cuFEtWbJEl2H+/Plqw4YNuoxFR/BpxK1D6lZEPhDv2uQ+zdONi25paWkxpRsg+lGjRukylj6NuHUo8/aF453I3ehrll32q1evqmPHjunylClT+sQcZPLkyfoTq0/bPW24dSiR9XC8tuTuFM1Z49y5c6bUmyRTDGkUuVuHYsnD8dqSd3Z2Zra/3IfMNuquq6vL7Iklz4d3Iufhb2xsNHvZnSVl3LhxplT8YBzruqcFt+7IWZeU3XC8Ezm4KZ5ZFTlt8ObmZl2mvU0bPQzr1nNtvnZ7reLWnQyfzY+XIg8G37I6TTHdZpZdu3aZ0g3oH7fid69NA9SZ2z8urnp+vBQ5AZqxY8eaPaX27NljStmCqPrRo0d1me40N+mFfnH6x4FruDZNuHU2ZswYCbpF4KXIwXXZs7y6CG54e3u7ttSI2qa0kiTDMc5Ztz5NuHWW5RF2ceDV4gouRGYnTpxo9pQ6ffq0WIOUQALMtGnTzJ5SFy5c8DrTTRZXyAMPhduO27p1qykJtY5bV0TVJZU1Gm9FDosXLzal3kitrBNW+1BHblTdrUMhHK9FTlvOBuAYrijWvPahjq5du6bLBNykPV4Yr0UO7kPCAyTWvHahbtwXsQi8OLwX+YoVK/oWGxBrXtu4VpxhpdSdUBjvRU4qpPuwiDWvTYJWnDqTNNbi8F7kELTm69ev12WhdqBOxIqXh4g8R9Cav/zyyzKbaw1BXTB1lUWseGl4mwwTxoQJE/TwU6APnTnLhcFn5syZfXnqRNQvXryoy0IvkgxTAps3bzal3oErEoQbfKgDdyCKW0dCcYglD7BgwQJ16NAhXaadfubMGcmoGiRw06dOndrXFp8zZ45eDUboTyFLLiIPYB8sO5e3uO2Dh+umE2yTF2444q6XCA+RO3MpbrtE26sP99x106kTEXh5iCXPg+u2A9ZcJiaoDrxYZ82aZfbETS+EuOtlQvIFbruNtkv7vDoE2+FE07nv0mWWH3HXy4SHyrUetNGx7pINlxzcW+6xFThQByLwyhCRR8AkEizeb2lra+u31JAQL9zb8+fPmz2lduzYIRN5xICIvACMdFq+fLnZU7qdLkKPH+7p4cOHzV7v+mwyyiwepE1eJDyE7uSBTFaQ9tVAawXu7d69e82eUosWLZJ7WwISeIsRAkK47BYReuUEBT5p0iQdaBOKRwJvMUI3mrv6CpZdXPfyCRO4JB7Fj4i8BIjyhgldou6lYaPoYQKXSHr8iLteBjykpFy6rjvCp7tH+tGjoR8cgbtRdBF4ZYi7ngA8jLQb3ZlCETxtdne9bKE/3BvukStwgmyS7JIsIvIKIOjmdq+RMIOFl1z3gXBPuDd24A/QTSaBy+QRdz0Gdu/erZYuXWr2eiHPnQfYd/cd95wAm+vh1NXV6UQX6QePB3HXqwAPK8ssuYsoWtfU54kn+O7BJgz36NSpUyLwKiKWPEYIyGG13NFr4JtVD7PeMHfuXH0fpP0dL2LJqwgPLxF28t3t7K/Aw87iiqtWrcp0Vxvfje/Id3UFzr3gnshgk8FBLHlCYM144INWnQee2UazNOMo4sY1Z3MDayDWO1m6u7vVlStfmr1wROQJw+J8iN2OS7dkQexR4qbtzaSL8+bNM0eEJOjq6lLDhg03e+GIyKsEXUhhYkDsCAGxp2VYJeuD8114gYV9H77LmjVrzBEhSQ4ePKimT/+V2QtHRF5FoiwfkDVH1Jkkm1qz7vzvpPDSXehm+lmy2AxJA3Tdbtiw0eyFIyIfBKzYEUzQjbcQkcfCsw1WVJ64AtaaLRgpt+CW82IScSv1xy++Ur/v/IPq+uSy+uLLq+pPf/6L+uGHH9XNNw9Vv/j5z9SdfzVKjblntBo/9pfqb+68w/xU+eCq33fffblnqMscCUdEPsggdCxkPhEBQpoxY4YWPi59Um49bjgb/0tra2veFxDwv+BxSH+3Uv/b0an+53y7Fvf1775XPT09fZuFBCC7jRg+TIv97yY1qPvqb+RWlApWvNdQiMhTAVaTCouy7i6IDBcZwWPp6+vr9XHK+Sw/f4MNOjo6dBlR03SIeslYrNVm86XPP4qvrn6jTp1tUxd/36n+/Jf/Uz91d6tixFSX224aMkT9/Ge3qAnjx6ppUxrVHaNudLkWw/bt29XKlSt1uaDIt2zZ0rNs2TKzK9QC1poi+LD2bzWxzQbrRQi9fPyHT9WxE6fVF1e+Uj/8+GM/q10sWPWbhw5Vd/71Har5kYfVvb+825yJxhU4FBR5buvhzbx27Vo9/a1QW9B+R/BW+NbyJoH1DKyg+ZQg2kAQ+DutJ3UbvPunn8zR8hly0026jf7bGU2RQqcNvm7dOv3ydylK5L3F3hzs2bNnq4ceekjdfffdakjOpRBqD+t2024G19Uu5HYjXIsVsXX5xQUvDC76f/zncXX58y9iEbgFoY++6071D3//6z7XnUSXTz/9VL3//vvqyJEjA8RtKUnkgiAUYNgvlBo6IldAOnGTk+KP15X6/k9mvzhE5IIQF0OHKXXzrTnV9B/yseypf1azfvNrdeutuXOGI//1jvr3/QfVJ598pu6552/VPy34RzX7d781Z5W69u236r/fOa7+9ZV/M0cMPTnv4Idvc2L/3hwoTLTIlfp/V0eGk8ZSdrEAAAAASUVORK5CYII=)
A thin wire of length L and uniform linear mass density
is bent in to a circular loop with center at O as shown in figure. The moment of inertia of the loop about the axis xx’ is ....
![](data:image/png;base64,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)
If heart of a mammal was injected with 2% solution, then
If heart of a mammal was injected with 2% solution, then
If α2, b2, c2 are A.P then cot A, cot B, cot C are in
If α2, b2, c2 are A.P then cot A, cot B, cot C are in
The first heart sound is
The first heart sound is