NUMERICAL PROBLEMS | SIMPLE HARMONIC MOTION | Physics 12 | NBF | FBISE

Описание: NUMERICAL PROBLEMS | SIMPLE HARMONIC MOTION | Physics 12 | National Book Foundation| Federal board
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In this Class 12 Physics lecture, we solve key *Numerical Problems from Chapter 8 - SIMPLE HARMONIC MOTION* based on the National Book Foundation (NBF) syllabus for Federal Board (FBISE). These problems cover amplitude, frequency, angular frequency, energy, phase, displacement, and pendulum motion — all essential for board exams and MCAT preparation.

🧮 Solved numericals include:
✔️ Maximum speed, amplitude, period relation
✔️ Displacement-time equation analysis
✔️ Motion between turning points
✔️ Energy of oscillation
✔️ SHM in pendulum and car engines



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00:00:00 - Q1: Find period from amplitude = 2.48 m and max speed = 4.36 m/s
00:04:32 - Q2: x = 3 cos(2t); find amplitude, freq, period, & time at x = 0 & turning point
00:11:40 - Q3: Motion along x-axis between ±0.20 m; find freq, time at x=0 & x=0.10 m, speed at both
00:23:03 - Q4: 8 kg mass, amplitude 0.25 m, frequency 0.60 Hz; find total energy (Ans: 3.6 J)
00:26:47 - Q5: 3.5 m pendulum at Karachi (g = 9.832) & K2 (g = 9.782); find period & freq
00:31:26 - Q6: Piston in SHM, amplitude = 0.41 m, ω = 251 rad/s; find max speed
00:33:13 - Q7: At t = 0, x = 0.50 m, a = -0.72 m/s², phase = 0.84 rad; find displacement at t = 3.4 s
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