Home
Class 12
PHYSICS
A table has a heavy circular top of radi...

A table has a heavy circular top of radius `1m` and mass `20 kg`, placed on four light (considered massless) legs placed symmetrically on its circumference. The maximum mass that can be kept anywhere on the table without toppling it is close to

A

20kg

B

34kg

C

47kg

D

59kg

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUESTION PAPER 2020

    KVPY PREVIOUS YEAR|Exercise PART-I : PHYSICS |50 Videos

  • SOLVED PAPER 2019

    KVPY PREVIOUS YEAR|Exercise EXAMPLE|26 Videos

Similar Questions

Explore conceptually related problems

A table has a heavy circular top of radius 1 m and mass 20 kg. It has four light legs of lengths 1 m fixed symmetrically on its circumference. (a) What is the maximum mass that may be placed any where on this table without toppling the table ? (b) What is the area of the table tope over which any weight may be placed without toppling it ?

A table has a heavy circular top of radius 1 m and mass 20 kg . It has four light legs of length 1 m fixed symmetrically on its circuference. What is the maximum weight which may be placed anywhere on this table wihtout toppling it?

Knowledge Check

  • Four identical rods of mass M and length L are placed on one another on the table so as to produce the maximum overhang as shown in figure. The maximum total overhang will be :

    A
    `(3L)/(4)`
    B
    `(24L)/(25)`
    C
    `(25L)/(24)`
    D
    `(4L)/(3)`

  • Two identical uniform rectangular blocks (with longest side L) and a solid sphere of radius R are to be balanced at the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance from the vertical edge of the table without toppling as indicated in the figure. If the mass of each block is M and of the sphere is M/2, then the maximum distance x that can be achieved is

    A
    8L/15
    B
    5L/6
    C
    (3L/4 + R)
    D
    (7L/15 + R)

  • A uniform chain of length l and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :

    A
    `1/4 m gl`
    B
    `1/8 m gl`
    C
    `1/16 m gl`
    D
    `1/32 mgl`

    • Similar Questions

    Explore conceptually related problems

    A table has a heavy circular top of radius 1m and mass 2kg . It has four light legs of length 1m fixed symmetrically on its circumference. Find the maximum mass (in kg) which may be placed anywhere on this table without toppling it. (take sqrt(2)=1.4)

    A round table of radius 10 m has four vertical legs fixed at the circumference of the table top in the form of four corners of a square. If the mass of the table is 10 kg, what maximum mass (in kg) can be kept on the circumference of the table so that table doesn't topple is (x/(sqrt(2)-y)) , then the value of (x+y) is ?

    Two blocks of mass m_(1)=10kg and m_(2)=5kg connected to each other by a massless inextensible string of length 0.3m are placed along a diameter of the turntable. The coefficient of friction between the table and m_(1) is 0.5 while there is no friction between m_(2) and the table. the table is rotating with an angular velocity of 10rad//s . about a vertical axis passing through its center O . the masses are placed along the diameter of the table on either side of the center O such that the mass m_(1) is at a distance of 0.124m from O . the masses are observed to be at a rest with respect to an observed on the tuntable (g=9.8m//s^(2)) . (a) Calculate the friction on m_(1) (b) What should be the minimum angular speed of the turntable so that the masses will slip from this position? (c ) How should the masses be placed with the string remaining taut so that there is no friction on m_(1) .

    Consider three solid spheres, sphere (i) has radius r and mass m, sphere (ii) has radius r and mass 3 m, sphere (iii) has radius 3r and mass m, All can be placed at the same point on the same inclined plane, where they will roll without slipping to the bottom, If allowed to roll down the incline, then at the bottom of the incline

    Consider three uniform solid spheres. sphere (i ) has radius r and mass m sphere (ii) has radius r and mass 3m , sphere (iii) has radius 3r and mass 'm' . All the spheres can be placed at the same point on the same inclined plane where they will roll without slipping to the bottom. If allowed to roll down the incline, then at the 'bottom of the incline

    Home
    Profile