All Questions
26
questions
0
votes
2
answers
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Acceleration-Meter [closed]
I encountered a Physics Olympiad problem:
A ball bearing rests on a ramp fixed to the top of a car which is accelerating horizontally. The position of the ball bearing relative to the ramp is used as ...
- 1,047
6
votes
3
answers
231
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Inconsistency of PE to KE conversion in moving reference frames [closed]
Here's a nice trick question to keep you amused over the weekend.
A trolley of unit mass with light frictionless wheels is released to roll down a ramp onto a smooth level surface. The PE lost equals ...
- 26.4k
0
votes
1
answer
354
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Banked curve problem in another frame of reference
How would you set up Newton's equation of motion for this problem (rolling without slipping in a circular path) using the frame of reference shown in the figure:
- 145
1
vote
1
answer
474
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Picking the Right Reference Frame
A space vehicle travelling at $3860 \ \text {kmph}$ w.r.t Earth sends its exhausted rocket motor backward with a speed of $125 \ \text{kmph}$ w.r.t the command module. The mass of the rocket motor is $...
10
votes
3
answers
3k
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Lagrangian equations of motion for ball rolling on turntable
The equations governing the motion of a ball of mass $m$, radius $R$ rolling on a table rotating at constant angular velocity $ \Omega $ which are derived using Newton's laws are: (I present these for ...
- 145
0
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0
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404
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Re: Susskind and Hrabovsky: Should the Lagrangian of a particle referred to a rotating frame omit the velocity dependent "potential"?
My question pertains to Lecture 6: Exercise 4 in The Theoretical Minimum by Leonard Susskind and George Hrabovsky. A suggested solution has been posted here: http://www.madscitech.org/tm/slns/
The ...
- 2,015
4
votes
1
answer
1k
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Lagrangian of rotating springs
I'm trying to construct the Lagrangian for the following scenario. A turntable of radius $R$ is rotating at angular velocity $\omega$, maintained by a motor. Two springs with Hooke's constant $k$ are ...
user138458
2
votes
2
answers
189
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Take derivative to a cross product of two vectors with respect to the position vector [closed]
I'm doing classical mechanics about Lagrange formulation and confused about something about vector differentiation.The Lagrangian is given:
$$\mathcal{L}=\frac{m}{2}(\dot{\vec{R}}+\vec{\Omega} \times \...
- 103
0
votes
2
answers
493
views
Uniform circular motion & relative velocity
Consider a car moving along a straight horizontal road at constant speed, $v$.
Also consider one of the tyres/wheel of the car. On it, there are two particles of dust $A$ and $B$ (as shown in the ...
- 1
4
votes
2
answers
599
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Work done changes between reference frames?
(This is not homework; a friend shared with me this puzzler and neither of us can figure it out.) Suppose you are in a plane traveling at velocity $v_1$ relative to the ground. The flight attendent ...
- 43
1
vote
1
answer
166
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kinetic energy of the stone
Suppose we have a man traveling in an open car (roof open) with speed $v$ towards right (man faces right). He throws a stone (mass $m$) towards right, in his frame-forward with speed $V$.
In the ...
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