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A smooth sphere A of radius R and mass M, collides elastically and head on with an identical sphere B at rest. The entire system is on a smooth horizontal ground. Given that the sphere A was rolling without slipping with an a ...
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Which of the following forces are conservative in nature? a. F = a\hat{i} + b\hat{j} b. F= ax\hat{i} + by\hat{j} \,\,\, (a\ne b) c. F= xy\hat{i} d. F= x{^2}y\hat{i} + 2xy^{2}\hat{j} ...
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which one is more stable? *Image* ...
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*Image* the net force acting on the particle shown if figure is: 1. m a (vector) 2. F(vector) 3. F(vector) + m a (vector) 4. F(vector) - m a (vector) ...
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*Image* ...
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*Image* FIND VELOCITY OF BLOCK AT THE MOMENT SHOWN IN FIGURE. (speed u1 and u2 are constant. give your ans. with respect to coordinate system shown in figure) ...
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we know that friction can not propose motion, its just opposes it... is the same true for frictional impulse as well?? say if a body is moving in +ve x - axis nd a frictional impulse acts on the body towards left, then under ...
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1. let f: R→R. then f is differentiable on R if - a. | f(x) - f(y) | ≤ k| x-y| , for all x,y belong to R nd some k >0 b | f(x) - f(y) | ≤ k| x-y|1/2 , for all x,y belong to R nd some k>0 c. | f(x) - f(y) | ≤ k ( ...
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A smooth wedge of mass M with a small block of mass m at the highest point of its inclined surface is released from rest on a fixed smooth horizontal surface, as shown. Initially block is at rest with respect to the wedge sur ...
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\large [x].[y]=x+y\,\rightarrow all\,non\,integer\,sol.\,lies\,on\,exactly\,2\,lines\,find\,them. ...
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lim x → pi/2 cos x/ (1-sin x)2 ...
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lim x→0 (sin x - tanx )2 + ( 1 - cos 2x )4 + x5/7 tan7 x + sin6 x + 2 .sin5 x i try expanding the numerator by substituting 2sin2x in place of ( 1 - cos 2x ).....am getting stuck after this.... ...
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\large find \, the\,no.\,solutions\,of\,\rightarrow \,2^{x}= x^{2}+1 see actually by drawing graph no. of sol. "seems" to be 2....but actually the ans. is 3.....( i checked it on wolfram alpha )......but i want to know how sh ...
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find the range of- [x2] - [x]2 ...
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lim x→∞ x/ x+ x+ x ...
