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Playlist class 12 NBF 👇 • Class 12 Federal Board Simple Harmonic Motion Numerical Problems 00:00 Q1. The amplitude of the motion of a mass attached to a spring is 2.48 m, while maximum speed of its mass is 4.36 m s⁻¹. What is the period of the motion? 01:51 Q2. A particle moves, whose displacement as a function of time is: x = 3.0cos(2t), where distance is measured in meter and time in second. a) Calculate the amplitude, the frequency, the angular frequency and the period of this particle? b) Calculate the time at which the particle reaches the midpoint (i.e., x = 0) and the turning point? 05:54 Q3. A particle executes simple harmonic motion, that moves back and forth along x-axis between points -0.20 m and +0.20 m. The period of the motion is 1.2 s. At the time t=0, the particle is at +0.20 m and its velocity is zero. a) What is the frequency of the motion and the angular frequency? b) What is the amplitude of the motion? c) At what time will the particle reach the point x=0? At what time will the particle reach the point x=0.10 m? d) What is the speed of the particle when it is at x=0? What is the speed of the particle when it reaches the point x=0.10 m? 12:28 Q4. A mass of 8.0 kg is attached to a spring and oscillates with amplitude of 0.25 m and has a frequency of 0.60 Hz. What is the energy of the motion? 14:41 Q5. Calculate the period and frequency of a 3.5 m long pendulum at the following locations: a) at Karachi, where g = 9.832 m s⁻². b) at K-2, where g = 9.782 m s⁻². 19:00 Q6. In a car engine, a piston executes SHM with amplitude of 0.41 m. The engine is running at angular frequency of 2400 rpm (251 rad s⁻¹). What is the maximum speed of the piston? 20:02 Q7. A ball connected to a spring executes SHM. At t=0, its displacement is 0.50 m and its acceleration is -0.72 m s⁻². The phase constant for its motion is 0.84 rad. What is the ball's displacement at t = 3.4 s? #Class12Physics #FederalBoardPhysics #FBISEPhysics2025 #PhysicsGrade12 #PhysicsNewSyllabus #NationalBookFoundation #FBISE2025 #PhysicsUnit17 #FBISEBooks #SHM #SimpleHormonicMotion