A particle of mass m is moving along the side of a square of side ‘a’
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Two lead balls of mass m and 2 m are placed at a separation d. A third ball of mass m is placed at an unknown location on the line joining the first two balls such that the net gravitational force experienced by the first ball is 6 Gm^2/2 d^2 . What is the location of the third ball?
02
Oct
Two lead balls of mass m and 2 m are placed at a separation d. A third ball of mass m is placed at an unknown location on the line joining the first two balls such that the net gravitational force experienced by the first ball is 6 Gm^2/2 d^2 . What is the location [...]
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A particle of mass m is moving along the side of a square of side 'a' ,
A ring and a disc are initially at rest ,
Figure shows a hallow sphere inside a lead sphere of radius R ,
side by side ,
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? ,
Three identical point masses m each are kept at the vertices A, B, and C of a cube having side length ‘a’ (see figure). Another identical mass is placed at the center point D of the cube. (a) Where will you place a fifth identical mass so that the net gravitational force acting on mass at D becomes zero? (b) Calculate the net gravitational force acting on the mass at D.
02
Oct
Three identical point masses m each are kept at the vertices A, B, and C of a cube having side length ‘a’ (see figure). Another identical mass is placed at the center point D of the cube. (a) Where will you place a fifth identical mass so that the net gravitational force acting on mass [...]
Tags:
A particle of mass m is moving along the side of a square of side 'a' ,
A ring and a disc are initially at rest ,
B ,
side by side ,
Three identical point masses m each are kept at the vertices 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 binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them . This statement implies that the masses of the two stars are equal (fig.) Assume teh orbitial speed of each speed of each star is v = 200 km/s and the orbital period of each is 20 days. Find the mass M of each star.
02
Oct
A binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them . This statement implies that the masses of the two stars are equal (fig.) Assume teh orbitial speed of each speed of each star is v = 200 km/s and the orbital period of [...]
A thin rod of mass M and length L is bent in a semicircle as shown in figure (a). What is its gravitational force (both magnitude and direction) on a particle with mass m at O the centre of curvature ? (b) what would be the force on m if the rod is in the form of complete circle?
02
Oct
A thin rod of mass M and length L is bent in a semicircle as shown in figure (a). What is its gravitational force (both magnitude and direction) on a particle with mass m at O the centre of curvature ? (b) what would be the force on m if the rod is in the [...]
As seen in figure, two spheres of M mass m and a third sphere of mass M form an equilateral triangle, and a fourth sphere of mass m. is at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero. (a) What is Min terms of m? (b) If we double the value of m, what then is the magnitude of the net gravitational force on the central sphere?
02
Oct
As seen in figure, two spheres of M mass m and a third sphere of mass M form an equilateral triangle, and a fourth sphere of mass m. is at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero. (a) What is Min terms [...]
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A particle of mass m is moving along the side of a square of side 'a' ,
A ring and a disc are initially at rest ,
As seen in figure ,
side by side ,
two spheres of M mass m and a third sphere of mass M form an equilateral triangle ,
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 solid sphere of mass m and radius r is placed inside as hollow thin spherical shell of mass and M and radius R as shown in figure. A particle of mas m is placed on tehline joining the tow centres ast a distance x from the point of contct of th sphere and teh shell. Findn teh mgnitude fo the resultant gravitational force on this particle due to the sphere and the shell if a.) r<x<2r, b.)2r<x2 R.
02
Oct
A solid sphere of mass m and radius r is placed inside as hollow thin spherical shell of mass and M and radius R as shown in figure. A particle of mas m is placed on tehline joining the tow centres ast a distance x from the point of contct of th sphere and teh [...]
A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60 o with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is ( 2 – root 3) / 10 , then the height of the top of the inclined plane, in meters. is ________. Take g = 10 m/s^2 .
02
Oct
A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60 o with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is ( [...]
A horizontal circular platform of radius 0.5 m and mass axis. Two massless spring toy-guns, each carrying a steel ball of mass 0.05 kg are attached to the platform at a distance 0.25 m from the centre on its either sides along its diameter (see figure). Each gun simultaneously fires the balls horizontally and perpendicular to the diameter in opposite directions. After leaving the platform, the balls have horizontal speed of 9 m/s with respect to the ground. The rotational speed of the platform in rad/s after the balls leace the platform is
02
Oct
A horizontal circular platform of radius 0.5 m and mass axis. Two massless spring toy-guns, each carrying a steel ball of mass 0.05 kg are attached to the platform at a distance 0.25 m from the centre on its either sides along its diameter (see figure). Each gun simultaneously fires the balls horizontally and perpendicular [...]
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A horizontal circular platform of radius 0.5 m and mass axis. Two massless spring toy-guns ,
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 wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the torque τ about an axis normal to the plane of the paper passing through the point Q. Which of the following options is/are correct?
02
Oct
A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the torque τ about an axis normal to [...]
Two thin circular discs of mass m and 4 m, having radii of a and 2 a, respectively, are rigidly fixed by a massless, rigid rod of length l = root 24 a through their centres. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is ω. The angular momentum of the entire assembly about the point ‘O’ is L → (see the figure). Which of the following statement(s) is(are) true?
02
Oct
Two thin circular discs of mass m and 4 m, having radii of a and 2 a, respectively, are rigidly fixed by a massless, rigid rod of length l = root 24 a through their centres. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so [...]
Tags:
A particle of mass m is moving along the side of a square of side 'a' ,
are rigidly fixed by a massless ,
having radii of a and 2 a ,
respectively ,
rigid rod of length l = root 24 a through their centres. This assembly is laid on a firm and flat surface ,
Two thin circular discs of mass m and 4 m ,
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? ,