Home
Class 12
PHYSICS
A hollow sphere of mass M and radius r i...

A hollow sphere of mass M and radius r is immersed in a tank of water (denstiy `rho_(w)`). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle `45^(@)` with the horizontal as shown in the figure. The tension `T_(1)` in the wire is :

A

`((4)/(3)pi R^(3)rho_(w)g-Mg)/(sqrt2)`

B

`(2)/(3)piR^(3) rho_(w)g-Mg`

C

`((4)/(3)piR^(3)rho_(w)g-Mg)/(2)`

D

`(4)/(3)piR^(3)rho_(w)g=Mg`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

A hollow sphere of mass M = 50 kg and radius r=(3/(40pi))^(1//3)m is immersed in a tank of water (density rho_(w)=10^(3)kg//m^(3) ). The sphere is tied to the bottom of a tank by two wires A and B as shown. Tension in wire A is (g = 10 m//s^(2))

A hollow object of volume V is immersed in a tank. The object is tied to the bottom of the tank by two wires which make an angle 30^(@) with the horizontal as shown in figure. The object would float if it was set free and one forth volume is immersed in liquid of density rho_(0) . The tension in the wires is

A uniform solid sphere of mass M and radius R is lying on a rough horizonal plane. A constant force F=4Mg acts vertically downwards at point P such that the line OP makes an angle of 60^(@) with the horizontal as shown in the figure. The minimum value of the coefficient of friction mu so that sphere performs pure rolling, is

A uniform sphere of mass 20kg and radius 10cm is placed on a rough horizontal surface . The coefficient of friction between the sphere and the surface is 0.5.If a force of magnitude 14.14 N is applied on the sphere at an angle of 45^(@) with horizontal as shown in the figure, calculate (a) frictional force (b) acceleration of the sphere (c ) angular acceleration of the sphere

A plank of mass m is placed on a smooth surface. Now, a uniform solid sphere of equal mass m and radius R is placed on the plank as shown in the figure. A force F is applied at topmost point of the sphere at an angle of 45^(@) to the horizontal. Surface between the plank and the sphere is extremely rough so that there is no slip between the plank and the sphere. The force of firction acting between the plank and the sphere is (F)/(ksqrt(2)) . Find the value of k .

A solid sphere of mass m and radius R is released from top of an incline having co-efficent of friction mu and making an angle of 45^(@) with the horizontal. Choose the correct alternative (s)

A hollow sphere is completely filled with a liquid having a density rho . The radius of the sphere is R . Now the sphere is puloled with a constant horizontal acceleration of g on a horizontal surface. Take centre of sphere as origin of coordinate system as shown in the figure. Consider points A and B as shown in the figure.

A hollow sphere is completely filled with a liquid having a density rho . The radius of the sphere is R . Now the sphere is puloled with a constant horizontal acceleration of g on a horizontal surface. Take centre of sphere as origin of coordinate system as shown in the figure. Coordinate of the point having the maximum pressure is

A sphere of mass 20 kg is suspended by a metal wire of unstretched length 4 m and diameter 1 mm. When in equilibrium there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle theta with the vertical and is released. Find the maximum value of theta so that the sphere does not rub the floor. young's modulus of the metal of the wire is 2.0xx10^11 Nm^-2 . Make appropriate approximation.

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if rltxlt2r