Physics-
General
Easy

Question

A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate

  1. Along the line joining the centers and lies at a distance 4R/9 left side, from the center of the hole    
  2. Along the line joining the centers and lies at a distance 4R/9 right side, from the center of the hole    
  3. Along the line joining the centers and lies at a distance R/9 left side, from the center of the hole    
  4. Along the line joining the centers and lies at a distance R/9 right side, from the center of the hole    

The correct answer is: Along the line joining the centers and lies at a distance 4R/9 left side, from the center of the hole


    M equals rho left parenthesis 2 R right parenthesis to the power of 2 end exponent pi semicolon m equals M equals rho left parenthesis R right parenthesis to the power of 2 end exponent pi
    C M x subscript c m end subscript equals fraction numerator M left parenthesis 0 right parenthesis minus m left parenthesis x subscript 2 end subscript right parenthesis over denominator M minus m end fraction semicolon x subscript 2 end subscript equals x equals R divided by 3 semicolon because m equals M divided by 4
    x subscript c m end subscript equals fraction numerator negative x over denominator 3 end fraction equals fraction numerator negative R over denominator 9 end fraction (from the centre of the large dis(c)
    i.e. 4R/9 from centre of the hole.

    Related Questions to study

    General
    Physics-

    The kinetic energy of a body decreases by 36%. The decrease in its momentum is

    The kinetic energy of a body decreases by 36%. The decrease in its momentum is

    Physics-General
    General
    Physics-

    A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?

    A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?

    Physics-General
    General
    Physics-

    Which of the following graphs is correct between kinetic energy (E), potential energy (U) and height (h) from the ground of the particle

    Which of the following graphs is correct between kinetic energy (E), potential energy (U) and height (h) from the ground of the particle

    Physics-General
    parallel
    General
    Chemistry-

    When pH of a solution is 2, the hydrogen ion concentration in mol litre1 is:

    When pH of a solution is 2, the hydrogen ion concentration in mol litre1 is:

    Chemistry-General
    General
    Chemistry-

    The decreasing order of strength of following bases is:

    The decreasing order of strength of following bases is:

    Chemistry-General
    General
    Physics-

    Two rods ofsamelengthandareaofcross-sectionA1and A2havetheirendsatthesametemperature.If K1and Kare their thermal conductivities,cand care their specific heatsandd1andd2aretheirdensities,thentherateofflow of heat is the same in both the rods if

    Two rods ofsamelengthandareaofcross-sectionA1and A2havetheirendsatthesametemperature.If K1and Kare their thermal conductivities,cand care their specific heatsandd1andd2aretheirdensities,thentherateofflow of heat is the same in both the rods if

    Physics-General
    parallel
    General
    Physics-

    In a room where the temperature is 30degreeC,a body cools from 61degreeC to 59C in 4 minutes. The time (in minutes)taken by the body to cool from 51degreec to 49degreeCwill be:

    In a room where the temperature is 30degreeC,a body cools from 61degreeC to 59C in 4 minutes. The time (in minutes)taken by the body to cool from 51degreec to 49degreeCwill be:

    Physics-General
    General
    Physics-

    Steam at 100degreeC is passed in to 20gofwateratl0degreeC.When water acquires a temperature of 80degreeC, the mass of water present will be:

    Steam at 100degreeC is passed in to 20gofwateratl0degreeC.When water acquires a temperature of 80degreeC, the mass of water present will be:

    Physics-General
    General
    Physics-

    Ifalpha comma beta text end text a n dblank gamma blankare efficient of linear, area and volume expansion respectively, then

    Ifalpha comma beta text end text a n dblank gamma blankare efficient of linear, area and volume expansion respectively, then

    Physics-General
    parallel
    General
    Physics-

    Two spheres of different materials one with double the radius and one-fourth wall thickness of the other are filled with ice. If the time taken for complete melting of ice in the larger sphere is 25 minute and for smaller one is 16 minute, the ratio of thermal conductivities of the materials of larger spheres to that of smaller sphere is

    Two spheres of different materials one with double the radius and one-fourth wall thickness of the other are filled with ice. If the time taken for complete melting of ice in the larger sphere is 25 minute and for smaller one is 16 minute, the ratio of thermal conductivities of the materials of larger spheres to that of smaller sphere is

    Physics-General
    General
    Physics-

    A long metallicbar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature 0 along the length x of the bar from its hot end is best described by which of the following figures?

    A long metallicbar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature 0 along the length x of the bar from its hot end is best described by which of the following figures?

    Physics-General
    General
    Physics-

    Two rods of same length and transfer a given amount of heat12second,whentheyarejoined as shown in figure (i).But when they are joined as shown in figure (ii), then they will transfer same heat in same
    conditions in

    Two rods of same length and transfer a given amount of heat12second,whentheyarejoined as shown in figure (i).But when they are joined as shown in figure (ii), then they will transfer same heat in same
    conditions in

    Physics-General
    parallel
    General
    Physics-

    Two rods, one of aluminum and the other made of steel having initial length l subscript 1 end subscriptand l subscript 2 end subscriptare connected to get her to expansion for aluminum and steel are l subscript 1 end subscript plus l subscript 2 end subscript and a s and respectively. If the length of each rod increases by the same amount when their temperature are raised by tdegreeC, then find the ratio l subscript 1 end subscript divided by open parentheses l subscript 1 end subscript plus l subscript 2 end subscript close parentheses

    Two rods, one of aluminum and the other made of steel having initial length l subscript 1 end subscriptand l subscript 2 end subscriptare connected to get her to expansion for aluminum and steel are l subscript 1 end subscript plus l subscript 2 end subscript and a s and respectively. If the length of each rod increases by the same amount when their temperature are raised by tdegreeC, then find the ratio l subscript 1 end subscript divided by open parentheses l subscript 1 end subscript plus l subscript 2 end subscript close parentheses

    Physics-General
    General
    Physics-

    When the temperature of a rod increases from t toblank t plus capital delta t, its moment of inertia increases from I to I plus capital delta I text end textIf alpha be the co efficient of line are x pansion of the rod, then the value ofblank fraction numerator capital delta I over denominator I end fraction

    When the temperature of a rod increases from t toblank t plus capital delta t, its moment of inertia increases from I to I plus capital delta I text end textIf alpha be the co efficient of line are x pansion of the rod, then the value ofblank fraction numerator capital delta I over denominator I end fraction

    Physics-General
    General
    Physics-

    A rectangular block is heated from 0degreecto100degreeC. Thepercentageincreaseinitslengthis0.10%.Whatwillbethepercentage increase in its volume?

    A rectangular block is heated from 0degreecto100degreeC. Thepercentageincreaseinitslengthis0.10%.Whatwillbethepercentage increase in its volume?

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.