Home
Class 11
PHYSICS
An iron sphere weights 10 N and rests in...

An iron sphere weights 10 N and rests in a V- shaped trough whose sides form an angle of `60^(@)` What are the normal forces exerted by the walls on the sphere in cases as shown in?

Text Solution

Verified by Experts

The correct Answer is:
(a) `R_(A) = 10N and R_(B)=0`
(b) `R_(A)=R_(B)=10N`
(c) `R_(A)=20//sqrt(3)N and R_(B)=(10//sqrt(3))N`
`(a)R_(A)=10N=W`
`R_(B)=0`

(b) `R_(A)=R_(B)`
`2R_(A) cos 60^(@)=W`
`R_(A)=W=10N=R_(B)`

(c) `R_(A) cos 60^(@)=R_(B)`
`R_(A) sin 60^(@)=W=10`
`R_(A)=(10xx2)/sqrt(3)=20/sqrt(3)N`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FORCE AND NEWTONS LAWS OF MOTION

    GRB PUBLICATION|Exercise Objective Questions|134 Videos

  • FORCE AND NEWTONS LAWS OF MOTION

    GRB PUBLICATION|Exercise More than one choice is correct|15 Videos

  • FORCE AND NEWTONS LAWS OF MOTION

    GRB PUBLICATION|Exercise Problem|33 Videos

  • BASIC MATHEMATICS

    GRB PUBLICATION|Exercise Problems For Practice|35 Videos

  • FRICTION AND CIRCULAR MOTION

    GRB PUBLICATION|Exercise Comprehension type|11 Videos

Similar Questions

Explore conceptually related problems

A wedge of mass m and triangular cross- section (AB = BC = CA = 2R) is moving with a constant velocity -v hat I towards a sphere of radius R fixed on a smooth horizontal table as shown in figure. The wadge makes an elastic collision with the fixed sphere and returns along the same path without any rotaion. Neglect all friction and suppose that the wedge remains in contact with the sphere for a very shot time. Deltat, during which the sphere exerts a constant force F on the wedge. (a) Find the force F and also the normal force N exerted by the table on the wedge during the time Deltat. (b) Ler h denote the perpendicular distance between the centre of mass of the wedge and the line of action of F. Find the magnitude of the torque due to the normal force N about the centre of the wedge, during the interval Deltat.

A wedge of mass m and triangular cross-section ( AB=BC=CA=2R) is moving with a constant velocity -v hat(i) towards a sphere of radius R fixed on a smooth horizontal table. The wedge makes an elasitc collision with the fixed sphere and returns along the same path without any rotation. Neglect all frcition and suppose that the wedge remains in contact with the sphere for a very short time Delta t , during which the sphere exerts a constant force vec(F) on the wedge. Find the force vec(F) and also the normal force vec(N) exerted by the table on the wedge during the time Delta t . Let h denote the perpendicular distance between the centre of mass of the wedge and the line of action of vec( F) . Find the magnitude of the torque due to the force vec( N) about the centre of the wedge, during the interval Delta t .

Knowledge Check

  • An iron sphere weighing 10N rests in a V shaped smooth trough whose sides form an angle of 60^(@) as shown in the Then the reaction forces are .

    A
    `R_(A) =10N` and `R_(B) = 0` in case (i)
    B
    `R_(A) =10N` and `R_(3) =10N` in case (ii)
    C
    `R_(A) = (20)/(sqrt3)N` and `R_(B) = (10)/(sqrt3)N` in case (iii)
    D
    `R_(A) =10N` and `R_(B) =10N` in all the `3` cases

  • A small sphere D of mass and radius rols without slipping inside a large fixed hemispherical radius R( gt gt r) as shown in figure. If the sphere starts from rest at the top point of the hemisphere normal force exerted by the small sphere on the hemisphere when its is at the bottom B of the hemisphere. .

    A
    `(10)/(7) mg`
    B
    `(17)/(7) mg`
    C
    `(5)/(7) mg`
    D
    `(7)/(5) mg`

  • A uniform rod of length l is placed symmetrically on two walls as shown in Fig. The rod is in equilibrium. If N_(1) and N_(2) are the normal forces exerted by the walls on the rod, then

    A
    `N_(1)gtN_(2)`
    B
    `N_(1)ltN_(2)`
    C
    `N_(1)=N_(2)`
    D
    `N_(1)` and `N_(2)` would be in the vertical directions

    • Similar Questions

    Explore conceptually related problems

    A uniform rod of length 1m having mass 1 kg rests against a smooth wall at an angle of 30^(@) with the ground. Calculate the force exerted by the ground on the rod. Take g = 10 ms^(-2) .

    A person (40 kg) is managing to be at rest between two verticle walls by pressing one wall A by hi hands and feet and the other wall B by his back figure. Assume that the friction coefficient between his body and the walls is 0.8 and that limiting friction acts at all the contacts. a. show that the person pushes the two walls with equal force. b. find the normal force exerted by either wall on the person Take g=10 m/s^2 .

    End A of the bar AB in figure rests on a frictionless horizontal surface and end B is hinged. A horizontal force vecF of magnitude 120 N is exerted on end A . You can ignore the weight of the bar. What is the net force exerted by the bar on the hinge at B ?

    In the figure a charged small sphere of mass m and the charge q starts sliding from rest on a vertical fixed circular smooth track of radius R from the position A shown. There exist a uniform magnetic field of B . Find the maximum force exerted by track on the sphere during its motion.

    A sphere strikes a wall and rebounds with coefficient of restitution (1)/(3) . If it rebounds with a velocity of 0.1 m//sec at an angle of 60^(@) to the normal to the wall, the loss of kinetic energy is :

    Home
    Profile