One Dimensional Equations of motion (constant acceleration) Practice Problems
In this lecture , we solve the equation of motion numericals of the type
one-dimensional / constant acceleration. We start with tricks/cautions
on how to tackle equations of motion; then we solve a few easy problems;
and finally we solve a three stage monster in the end ! This is an
excellent lecture for you to practice with as it has theory and level of
problems is varied.
It is useful for all boards - CBSE / ICSE / IGCSE.
Attached herewith are Equations of Motion practice sheet.
Galileo is to pendulum as Gabbar is to Sholay ! No talk about penduluum is complete without Galileo's name. Legend is that a bored Galileo got interested in pendulums while he he was in a church in Pisa and noticed a lamp swinging back and forth overhead. He observed that the lamp repeated the same pattern of swing Einstein was Galileo’s biggest fan and called him the father of modern physics.
I find Foucault pendulum intriguing.
Click on any of the below links for an interesting journey into these beautiful beasts.
Q1. Derive an expression for Kinetic energy of rotating body with uniform angular velocity
Q2.Obtain an expression for torque acting on a rotating body with constant angular acceleration
Q3. Deduce an expression for kinetic energy when a body is rolling on a plane surface without slipping
Q4. Define angular momentum of a body obtain an expression for angular momentum of a rigid body rotating with uniform angular velocity. State its SI unit and dimensions
Q5. State and prove principle of conservation of angular momentum. Explain it with examples
Q6. What will be the duration of the day if the earth suddenly springs to 1/27th of its original volume; mass being same.
Q7. A wheel of moment of inertia 1 kg metre square is rotating at a speed of 30 Radian per second. Due to friction on the axis, it comes to rest in 10 minutes. Calculate
i total work done by the friction
ii the average torque of the friction
iii angular momentum of the wheel 2 minutes before it stops rotating
SEVEN : Cross off
the last digit - double this digit and subtract it from the number that remains. {If required, keep doing it till you get a small number.} If the number is
divisible by 7, the original number is divisible by 7 .
This one's trick; so here's an example.
i) Consider:2275
Last digit is 5 - double this i.e. 10. Subtract 10 from227. Ans = 217
Now 217 is divisible by 7 - so 2275 is divisible by 7.
ii) Consider 15925
Last digit is 5 - double this i.e. 10. Subtract 10 from 1592. Ans = 1582
Last digit is 2 - double this i.e. 4. Subtract 4 from 158. Ans = 154
154 is divisible by 7 - so 15925 is divisible by 7.
EIGHT : if last 3 digits is divisible by 8
NINE:if the sum of the digits is divisible by 9
TEN:if the last digit is 0
ELEVEN:Subtract the last digit from the number formed
by the remaining digits. If new number is divisible by 11, the original number
is divisible by 11
