Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions)
A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically(see figure), with its axis perpendicular to CD and its centre O at the centre of line joining AB and CD(see figure). It is given a light push so that it starts rolling with its centre O moving parallel to CD in the direction shown. As it moves, the roller will tend to.
02
Oct
A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically(see figure), with its axis perpendicular to CD and its centre O at the centre of line joining AB and CD(see figure). It is given a light push so that [...]
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A particle of mass m is moving along the side of a square of side 'a' ,
A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically(see figure) ,
with a uniform speed v in the x-y plane as shown in the figure. Which of the following statements is false for the angular momentum L about the origin? ,
A particle of mass m is moving along the side of a square of side ‘a’, with a uniform speed v in the x-y plane as shown in the figure. Which of the following statements is false for the angular momentum L about the origin?
02
Oct
A particle of mass m is moving along the side of a square of side ‘a’, with a uniform speed v in the x-y plane as shown in the figure. Which of the following statements is false for the angular momentum L about the origin? A particle of mass m is moving along the side [...]
A bob of mass, m attached to an inextensible string of length, l, is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed, ω rad/s about the vertical. About the point of suspension:
02
Oct
A bob of mass, m attached to an inextensible string of length, l, is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed, ω rad/s about the vertical. About the point of suspension: A bob of mass is suspended from a vertical support. The bob rotates in a [...]
A hoop of radius r and mass m rotating with an angular velocity ω o is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?
02
Oct
A hoop of radius r and mass m rotating with an angular velocity ω o is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip? A thin uniform rod of [...]
A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc of reach its other end. During the journey of the insect, the angular speed of the disc:
02
Oct
A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc of reach its other end. During the journey of the insect, the angular speed of the [...]
A small particle of mass m is projected at an angle θ with the x axis with an initial velocity v 0 in the xy plane as shown in the figure. At a time t< g v 0 /sinθ , the angular momentum of the particle is:
02
Oct
A small particle of mass m is projected at an angle θ with the x axis with an initial velocity v 0 in the xy plane as shown in the figure. At a time t< g v 0 /sinθ , the angular momentum of the particle is: A small particle of mass m [...]
A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of :
02
Oct
A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of : A thin uniform rod of length l and mass m is swinging freely about a horizontal axis [...]
A uniform thin stick of mass M = 24 kg and length L rotates on a friction less horizontal plane, with its centre of mass stationary. A particle of mass m is placed on the plane at a distance x = L3 from the centre of the stick . This stick hits the particle elastically (a) Find the value of m so that after the collision, there is no rotational motion of the stick
02
Oct
A uniform thin stick of mass M = 24 kg and length L rotates on a friction less horizontal plane, with its centre of mass stationary. A particle of mass m is placed on the plane at a distance x = L3 from the centre of the stick . This stick hits the particle elastically [...]
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A rolling body of mass m = 4 k g ,
A uniform thin stick of mass M = 24 kg and length L rotates on a friction less horizontal plane ,
radius R and radius of gyration k = R / √ 3 is placed as a plank which moves with an acceleration a 0 = 1 m /s^2 . Find the frictional force acting on the body if it rolls without sliding(in N ). ,
A square plate of side length 2 m has a groove made in the shape of two quarter circles joining at the centre of the plate. The plate is free to rotate about vertical axis passing through its centre. The moment of inertia of the plate about this axis is 4 kg/m^2. A small block of mass 1 kg enters the groove at end A travelling with a velocity of 2/s parallel to the side of the square plate. The block move along the frictionless groove of the horizontal plate and comes out at the other end B with speed V. Find V assuming that width of the groove is negligible.
02
Oct
A square plate of side length 2 m has a groove made in the shape of two quarter circles joining at the centre of the plate. The plate is free to rotate about vertical axis passing through its centre. The moment of inertia of the plate about this axis is 4 kg/m^2. A small block [...]
A uniform disc of mass m = 1 kg and radius R = 20 cm lies flat on a smooth horizontal table. A mass less string runs halfway around it as shown ion fig. One end of the string is attached to a small block of mass m and the other end is being pulled with a force F = 20 N . The circumference of the disc is sufficiently rough so that the string does not slip over it. Find acceleration of the small block ( in m/s^2).
02
Oct
A uniform disc of mass m = 1 kg and radius R = 20 cm lies flat on a smooth horizontal table. A mass less string runs halfway around it as shown ion fig. One end of the string is attached to a small block of mass m and the other end is being pulled [...]