Recent content by S.Mukherjee

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    Help with an equation about waves and wavelengths

    A point to be noted is that, in a vibrating string both ends of the string are fixed creating displacement nodes at those points.Now, the question says that there are 6 antinodes present on the string. So,the waves in vibrating string will contain 3 fundamental waves. so, 3*wavelength=length of...
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    How Does Angular Velocity Change as String Length Reduces in a Rotating System?

    Let particle and string be a system Since no external torques act, angular momentum is conserved. Hence,
  3. S

    Cause of Lightning - Understand How It Happens

    Actually lightning is created due to huge potential difference created between cloud and earth.Clouds due to rubbing with each other create huge amount static charge which has very high potential with respect to earth.Now, the electric field thus created is very strong resulting in ionisation of...
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    How Does a Bat Rotate and Translate After Being Struck by a Ball?

    In this case, the rod will translate as well as rotate, the velocity of centre of mass will depend upon the mass and vel. of ball which can be calculated by conservation of linear momentum.The bat will rotate about its centre of mass with an angular velocity which can be determined by conserving...
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    Calculus: Rates of Change of Cone: height and radius

    you should write volume in terms of "r" V=1/3{(pi)r^2}*rcot(theta) where cot(theta)=4/2. find dV/dt @ r=h/2. About your answer, The expression you derived is absolutely correct but the value of "r" you put in your final answer is wrong.You should put r=3/2 instead of 2.
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    Alexander & Kite: Force Needed to Hold Back

    yeah its really impossible to solve because there is always a net downward force acting on the kite which implies that it is falling down.
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    Alexander & Kite: Force Needed to Hold Back

    you should focus on calculating the tension in the string which will be the force that Alexander will be applying to hold the kite back. We can assume the kite to be in equilibrium if Alexander is running with constant speed.The tension will act away from kite.Make free body diagram of kite and...
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    Static friction, uniform circular motion problem

    hi, the statement is false because if the road is banked for a speed of 45 mph then it means that at 45 mph, there is no friction acting on the tyres in the radial direction because centripital forces are provided by normal reactions solely.So, friction only acts in the direction tangential to...
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    Do Black Holes Actually Possess Entropy?

    I think that entropy of black hole is very high due to its capability of absorbing everything. Talking at macroscopic level, if we consider black hole as a system, then mass as well as heat in form of radiations are going into the system and not coming outside. So, if we use the relation of...
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    Is the Entropy of Black Holes Proportional to Their Size?

    I think that entropy of black hole is very high due to its capability of absorbing everything. Talking at macroscopic level, if we consider black hole as a system, then mass as well as heat in form of radiations are going into the system and not coming outside. So, if we use the relation of...
  11. S

    Work and Energy - Prove the equation

    If you have used the mass of the string, then where is the string's mass in your final answer?
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    Work and Energy - Prove the equation

    The next part of solution is:
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    Work and Energy - Prove the equation

    Hi Abdul' The solution of this problem using classical mechanics is :
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    Work and Energy - Prove the equation

    Hi Abdul, I suppose that you solved this question by finding the equilibrium point at which forces are balanced. I agree, that the ball will come to the equilibrium position after some time but that is not the max. height it will reach.Since the the ball is acted upon by a constant force F, it...
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    Work and Energy - Prove the equation

    the last part of the soln. is:
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