Answer:
net torque on the system is 2.5 Nm
Explanation:
As we know that net torque on the system is given as

now we have




now we have


Missing detail in the text: total voltage of the circuit

Missing figure: https://www.physicsforums.com/attachments/prob-24-68-jpg.190851/
Solution:
1) The energy stored in a circuit of capacitors is given by

where

is the equivalent capacitance of the circuit. We can find the value for

by using

and the energy of the system,


2) Then, let's calculate the equivalente capacitance of C1 and C2. The two capacitors are in series, so their equivalente capacitance is given by

from which we find

3) Then let's find

, the equivalent capacitance of

and C3.

is in series with C4, therefore we can write

Since we already know

and

, we find

4) Finally, we can find

, because it is in parallel with

, and the equivalent capacitance of the two must be equal to

:

So, using

and

, we find
Answer: d = 4750n/3.1+95n
Explanation:
Using the principle of moment to solve the question.
Sum of clockwise moments = sum of anti clockwise moments
Since there are n identical coins with mass 3.1g placed at point 0cm, 1 coin will have mass of 3.1/n grams
Taking moment about the pivot,
Mass 3.1/n grams will move anti-clockwisely while the mass 95g will move in the clockwise direction.
Since its a meter rule (100cm) the distance from the center mass(95g) to the pivot will be 50-d (check attachment for diagram).
To get 'd'
We have 3.1/n × d = 95 × (50-d)
3.1d/n = 4750-95d
3.1d = 4750n-95dn
3.1d+95dn=4750n
d(3.1+95n) = 4750n
d = 4750n/3.1+95n
Answer:

Explanation:
Given that,
Initial speed, u = 5 m/s
Final speed, v = 10 m/s
Time, t = 2 s
The radius of the tire of the bike, r = 35 cm
We need to find the angular acceleration of the pebble during those two seconds. It can be calculated as follows.

So, the required angular acceleration of the pebble is equal to
.