Question
A uniform rod of length 2 L is placed with one end in contact with horizontal and is then inclined at an angle
to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be.....
The correct answer is: ![w equals square root of fraction numerator 3 g sin invisible function application alpha over denominator 2 L end fraction end root](data:image/png;base64,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)
Related Questions to study
If the sides of a triangle are in the ratio then greatest angle is
If the sides of a triangle are in the ratio then greatest angle is
A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.
A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.
In
then ![4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
s denotes the semi-perimeter of the triangle ABC, ∆ its area and R the radius of the circle circumscribing the triangle ABC i.e., R is the circum-radius.
In
then ![4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
s denotes the semi-perimeter of the triangle ABC, ∆ its area and R the radius of the circle circumscribing the triangle ABC i.e., R is the circum-radius.
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...
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...
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,iVBORw0KGgoAAAANSUhEUgAAAGAAAAAQCAYAAADpunr5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAolJREFUeNrtmEFkXFEUhp8xRlU3EVExopuIrCJkEaMqmyyqqiJUjaiKEFERXZQuIqIiRFZV2VRFdREhKouKCBFVI7Kpqi7DLLLoIkoWFREjJP/lD8dx7ntvmrnPpPrzLd5997537j3nnnvei6Lm0HOwEDW3FmjnP6cesHdNbN2lvQ1XDtTAeQw19gsxqd4U/V5ktMin4AwcgCr4DNp5rw9UsjCiC/zI4D29dECSnjAA8oHt6TTmPQc+iOsKHRFUw2AlAwcsgsmEPi3gJ9gGQ3U+/7zO/kPGvPVaTGVxXr0GL2PSlbt/yKh0EXNH9Znl+NuMnhNwROOltsC9BFvegTJ4BpYCO8DZ/Uq1fQT3xXUJ7IR2wCfwyHNvA7xlZDpnrBmRucbFdos/wH5F5tebot8fUIixo8T3RXRmNbADLueSY3pcNs6eAu32vS+JVKqKg0eqTCN1hDxQbftg3BjvdkGruD6LscHl+2+gQ7R9B90BHbAvFupYRb5ULWT05/lyS18YlVJfVQrKecbnmYqilA6YNdLgfEItfpUIlHa7KB9kedyVtQNKXGhLJ6oUtRa73zPeeq4vBXUz2rUGWBaG2AH9Rm4fYaGQaQoqq7JL6re6vmsslG+81b7NZ2hVEr5H8gEcUGbOl3oK3huBFPQQdgfsmOfeL3BDXM/wwE4z3mq3ylB3dryJsW/VOHMa4QBn36hqW6ZjpCaNXdFQrcdMcI5lYY5539XHmynHW+36Q6ydNf+tGPvGEhz0tw5YF4duG3jMErtg7M6gH2JHKsq1plkJzbDfoSpDfeN97Xvi/4p77sME+4qsVkLM+zLNnXKnFVWfzH5F1KO2/z/jrr8moub/Hb3o+ba5ki4Ahq+5AogbBisAAACqdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlQ8L21pPjxtaT5hPC9taT48bWk+bjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bW8+KDwvbW8+PG1pPkE8L21pPjxtbz4rPC9tbz48bWk+QjwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48L21hdGg+Vg+5dQAAAABJRU5ErkJggg==)
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,iVBORw0KGgoAAAANSUhEUgAAAGwAAAAkCAYAAABsbd/MAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAmdJREFUeNrtmkFEw1Ecx/8mk2TskGTSpVOnSJJO0WmS6dZxonMSHWaSRDp0mC6dkiQyO023JB26ZTok0SmTGUkyyVi/x3fM37be2/5v77+334cv29/833u/3+/9/u8/X8fxDyVSwGG6Ih7jpEfOkdl4VBR+GyNdWBLsigf3aCkeYjvukAqkX1KONKZp4tukBMZ7J/2QbkgjBgM/SDog5bH+DCmsIWFinBTpE+tOk45IW6oTzuJGYSTvEpnXkTBx71dMsjreocFdJ4L4QNojhUhB0iZp0eN1B1CYcXwOoXgrirF2VhDEWk5JUU0JeyFNuK6JyX8ZStg+ilV3S0w22EkiHhGVQUXWZ13Xbv9piRUJNaqyUp3r/YYSJuZTlGx/7axb8IbdLBMPpSOl+PytqdJmUCBuRMFcG0jYNOmuA4eOSWwC2Xg0pej6PoeermPiov2e1Lm+gZbRaaI4YOhO2DLpTCEeTcmjJdX22rSmiafw0K0liPcQE6fEKdJzBxIWq3NOcJDENdVBd0nHaIXiuXVOutI08Qwesgv4HsG1uMEjfQ4nxD4cftbRZbxc9wDpCa2xWihZbJZoK5NOoAKS2G0F1aOmJOK+S0haGcGKOWYZxfOljJ2+qmmcYRSneP+6J82TPlzdrWWG+B8jhmGYbqGdF1iG8UeF+kG9unZuiQzDMAzD9CZsc+uieLDNrcviYZPNzVg82rW5qWCTza2VcXxhc1PBJpub6qbwjc1NBZtsbiqwzc2jqu9Jm5ssttncZPGdzU2l/dpkc5PFdzY3WWyzuakc3X1lc5PFNpubLGxz8xC2uTHe8Add+k1HcpctFAAAARN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1pPmE8L21pPjxtbz4rPC9tbz48bWk+YjwvbWk+PC9tcm93Pjxtcm93PjxtaT5hPC9taT48bW8+LTwvbW8+PG1pPmI8L21pPjwvbXJvdz48L21mcmFjPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1pPmM8L21pPjxtbz4rPC9tbz48bWk+ZDwvbWk+PC9tcm93Pjxtcm93PjxtaT5jPC9taT48bW8+LTwvbW8+PG1pPmQ8L21pPjwvbXJvdz48L21mcmFjPjwvbWF0aD5uYxsmAAAAAElFTkSuQmCC)
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.