1Length of the string of the pendulum is l .
Suppose a railroad car of mass M is present. (in the picture it's the box) . A pendulum (length of string=l) is held at rest at an angle alpha with the vertical. The bob of the pendulum has a mass m. Find the velocity of the car when the bob is at its mean position.
- From The Dark Knight
Everyone continue this thread to the extent of full revision of MECHANICS for IIT-2010 aspirants.
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9 Answers
1kya yaar...koi nehi kar raha hai !!! Mujh ko hi haath lagana hoga lagta hai !!!!
11Simple concept :- Since horizontal force is 0, C.M will not move along X-axis.......
1for the system of railroad car and bob
conserving momentum
0+0= mv+MV
=> v= - MV/m ............ 1
now conserving energy
mgl(1- Cos α) = mv22 + MV22 .............. 2
on solving 1 and 2
V= \sqrt{\frac{2glm^{2}(1-Cos\alpha) }{M(M+m)}}
1gr8 ANI. just one small mistake. you have found out "V2" not V.
well-solved.
Now everyone..extend this thread by more questions on mechanics.
21ok one easy prob from my side.....from ROTATIONAL MECHANICS
A rod of mass m and length l is placed vertically on a smooth floor as shown in teh fig.....The lower end of teh rod is given a negligible slight push towards left due to which teh lower end of teh rod moves towards left and collides perfectly inelastically with teh fixed point P and then rod rotates about teh point P [l=(2-√3)m
1)find teh angular velo of teh rod jus befor its lowest point collide with P
2)find teh angular velo of teh rod jus after its lowest point collides with P
3) velo of teh topmost point of teh rod immediately after collison
24Similar ques as given by eragon
http://targetiit.com/iit-jee-forum/posts/interesting-problem-in-mechanics-10261.html
1Come on guys......extend this thread...more discussion on Physics is required.