Request a call back

having doubt in resolving components. why is mg1sin theta = Fcos45????
Asked by keyasp.unoff | 22 Aug, 2023, 07:05: PM
Figure shows the forces acting on two charged spheres of different masses m1 and m2 .  Spheres are connected to fixed point through equal length of strings.

string connected to heavier mass of sphere is at angle 30o with vertical and other string connected to lighter mass is at angle 60o with vertical as shown in figure .

Since angle between the strings is 90o then two strings and the line connecting the two spheres form a right angled triangle .

Hence angle between strings and the line joining the two spheres is 45o as shown in figure.

Let us consider spheres are charged with same sign so that equal repulsion forces Fe are acting on spheres as shown in figure.

T1 and T2 are the tension forces acting along the string.  Angles between the forces are calculated using geometry and shown in figure.

When three forces acting at a pont along different directions , then relation for ratios between each force and

the opposite angle is determined using Lami's theorem .

For the mass m1, we get from Lami's theorem as

From above expression, we get

...................... (1)

For the mass m2, we get from Lami's theorem as

From above expression, we get

...............................(2)

Since the electrostatic force Fe acting on both sphere are equal , we can equate the RHS of eqn.(1) and (2) to get

Answered by Thiyagarajan K | 23 Aug, 2023, 12:17: AM
NEET neet - Physics
NEET neet - Physics
NEET neet - Physics
Asked by grenalinechsangma | 05 Oct, 2023, 10:44: AM
NEET neet - Physics
Asked by keyasp.unoff | 22 Aug, 2023, 07:05: PM
NEET neet - Physics
Asked by aniket30092005 | 01 Aug, 2023, 08:54: PM
NEET neet - Physics
Asked by harshs2580 | 04 Nov, 2022, 08:45: AM