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 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?

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 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)

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 :

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

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) .

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) .

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) .