- #1
vkash
- 318
- 1
which one will faster?
consider two cases
case 1: A impulse P is applied to a point object of mass m.velocity of center of mass is v1
case 2: A impulse P is applied to one end of a rod of mass m length l .velocity of center of mass is v2(It will rotate also!)
NOTE: all the things are happening in frictional less horizontal plane so g will not matter.
which is greater v1 or v2.
I think v1
because in first case impulse given P is responsible for only change in Linear momentum but in second case applied impulse is responsible for change in linear as well as angular momentum of rod.
I ask this question because there is a question in my book similar to case 2 and they ask velocity of center of mass of rod. If it is point object(as in case 1) then it is definitely [itex]\frac{P}{M}[/itex] but in case of rod i think it should smaller than [itex]\frac{P}{M}[/itex]. But how to calculate that?
consider two cases
case 1: A impulse P is applied to a point object of mass m.velocity of center of mass is v1
case 2: A impulse P is applied to one end of a rod of mass m length l .velocity of center of mass is v2(It will rotate also!)
NOTE: all the things are happening in frictional less horizontal plane so g will not matter.
which is greater v1 or v2.
I think v1
because in first case impulse given P is responsible for only change in Linear momentum but in second case applied impulse is responsible for change in linear as well as angular momentum of rod.
I ask this question because there is a question in my book similar to case 2 and they ask velocity of center of mass of rod. If it is point object(as in case 1) then it is definitely [itex]\frac{P}{M}[/itex] but in case of rod i think it should smaller than [itex]\frac{P}{M}[/itex]. But how to calculate that?
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