Part 1
Four particles A, B, C and D are situated at the vertices of a rectangle of sides d at t = 0. Each of the particle moves with constant speed v. A always has its velocity along AB, B along BC, C along CD and D along DA. At which time will the particles meet each other ?
20
Oct
Four particles A, B, C and D are situated at the vertices of a rectangle of sides d at t = 0. Each of the particle moves with constant speed v. A always has its velocity along AB, B along BC, C along CD and D along DA. At which time will the particles meet [...]
Two particles are projected simultaneously in the same vertical plane from the same point, with different speeds u1 and u2, making angles θ1 and θ2 respectively with the horizontal. The path followed by one, as seen by the other (as long as both are in flight), is
20
Oct
Two particles are projected simultaneously in the same vertical plane from the same point, with different speeds u1 and u2, making angles θ1 and θ2 respectively with the horizontal. The path followed by one, as seen by the other (as long as both are in flight), is as seen by the other (as long as [...]
A body thrown horizontally from the top of a building with a speed 20m/s, strikes the ground 40m away from the foot of tower. The height of the tower is
20
Oct
A body thrown horizontally from the top of a building with a speed 20m/s, strikes the ground 40m away from the foot of tower. The height of the tower is A body thrown horizontally from the top of a building with a speed 20m/s strikes the ground 40m away from the foot of tower. The [...]
A particle is thrown with speed u at an angle of projection θ with horizontal as shown. (i) The average velocity of particle from O to A is ucosθ (ii) The average velocity of particle from O to H (highest point) is u/21+3cos2θ−−−−−−−−−√ (iii) The average velocity of particle from J to K is u cos θ (iv) The angle between the velocity and the acceleration between O and H is greater than 90^∘, between H to A is less than 90^∘ and at highest point is 90^∘
20
Oct
A particle is thrown with speed u at an angle of projection θ with horizontal as shown. (i) The average velocity of particle from O to A is ucosθ (ii) The average velocity of particle from O to H (highest point) is u/21+3cos2θ−−−−−−−−−√ (iii) The average velocity of particle from J to K is u [...]
A point moves linearly with deceleration which is given by dv/dt = −αv√, where alpha is a positive constant. At the start v=v0. The distance traveled by particle before it stops will be
20
Oct
A point moves linearly with deceleration which is given by dv/dt = −αv√, where alpha is a positive constant. At the start v=v0. The distance traveled by particle before it stops will be A point moves linearly with deceleration which is given by dv/dt = −αv√ where alpha is a positive constant. At the start [...]
A body is projected vertically upwards. If t1 and t2 be the times at which it is at a height h above the point of projection while ascending and descending respectively, then h is
20
Oct
A body is projected vertically upwards. If t1 and t2 be the times at which it is at a height h above the point of projection while ascending and descending respectively, then h is A body is projected vertically upwards. If t1 and t2 be the times at which it is at a height h [...]
A stone dropped from a building of height h and it reaches after t second on the earth. From the same building if two stones are thrown (one upwards and other downwards) with the same speed and they reach the earth surface after t1 and t2 seconds, respectively, then
20
Oct
A stone dropped from a building of height h and it reaches after t second on the earth. From the same building if two stones are thrown (one upwards and other downwards) with the same speed and they reach the earth surface after t1 and t2 seconds, respectively, then Two particles are shown in figure. [...]
Two wires of radii r and 2r respectively are welded together end to end. This combination is used as a sonometre wire kept under tension T. The welded point is midway between the two bridges. What would be the ratio of the number of loops formed in the wires such that the joint is a node when stationary vibrations are set up in the wires.-duplicate-2
19
Sep
Two wires of radii r and 2r respectively are welded together end to end. This combination is used as a sonometre wire kept under tension T. The welded point is midway between the two bridges. What would be the ratio of the number of loops formed in the wires such that the joint is a [...]
A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, length of BO is :
17
Sep
A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further, it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then, [...]
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A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to 'x'. Further ,
it is observed that the frequency of 1st harmonic (fundamental frequency) in AB is equal to 2nd harmonic frequency in CD. Then ,
length of BO is : ,
Two wires of radii r and 2r respectively are welded together end to end. This combination is used as a sonometre wire kept under tension T. The welded point is midway between the two bridges. What would be the ratio of the number of loops formed in the wires such that the joint is a node when stationary vibrations are set up in the wires.
17
Sep
Two wires of radii r and 2r respectively are welded together end to end. This combination is used as a sonometre wire kept under tension T. The welded point is midway between the two bridges. What would be the ratio of the number of loops formed in the wires such that the joint is a [...]