Simple Harmonic Motion - General Physics - Solved Exam, Exams of Physics

Download Simple Harmonic Motion - General Physics - Solved Exam and more Exams Physics in PDF only on Docsity! Exam Questions 1. [2009][2007][2003] State Hooke’s law. 2. [2002] A mass at the end of a spring is an example of a system that obeys Hooke’s Law. Give two other examples of systems that obey this law. 3. [2002] (i) The equation F = – ks, where k is a constant, is an expression for a law that governs the motion of a body. Name this law and give a statement of it. (ii) Give the name for this type of motion and describe the motion. 4. [2009] (i) When a sphere of mass 500 g is attached to a spring of length 300 mm, the length of the spring increases to 330 mm. Calculate the spring constant. (ii) The sphere is then pulled down until the spring’s length has increased to 350 mm and is then released. Describe the motion of the sphere when it is released. (iii) What is the maximum acceleration of the sphere? 5. [2007] (i) When a small sphere of mass 300 g is attached to a spring of length 200 mm, its length increases to 285 mm. Calculate its spring constant. (ii) The sphere is pulled down until the length of the spring is 310 mm. The sphere is then released and oscillates about a fixed point. Derive the relationship between the acceleration of the sphere and its displacement from the fixed point. (iii) Why does the sphere oscillate with simple harmonic motion? (iv) Calculate the period of oscillation of the sphere. (v) Calculate the maximum acceleration of the sphere. (vi) Calculate the length of the spring when the acceleration of the sphere is zero. 6. [2002] (i) The springs of a mountain bike are compressed vertically by 5 mm when a cyclist of mass 60 kg sits on it. When the cyclist rides the bike over a bump on a track, the frame of the bike and the cyclist oscillate up and down. Using the formula F = – ks, calculate the value of k, the constant for the springs of the bike. (ii) The total mass of the frame of the bike and the cyclist is 80 kg. Calculate the period of oscillation of the cyclist. (iii) Calculate the number of oscillations of the cyclist per second. Section A questions 7. [2008] A student investigated the relationship between the period and the length of a simple pendulum. The student measured the length l of the pendulum. The pendulum was then allowed to swing through a small angle and the time t for 30 oscillations was measured. This procedure was repeated for different values of the length of the pendulum. The student recorded the following data: l /cm 40.0 50.0 60.0 70.0 80.0 90.0 100.0 t /s 38.4 42.6 47.4 51.6 54.6 57.9 60.0 (i) Why did the student measure the time for 30 oscillations instead of measuring the time for one? (ii) How did the student ensure that the length of the pendulum remained constant when the pendulum was swinging? (iii) Using the recorded data draw a suitable graph to show the relationship between the period and the length of a simple pendulum. (iv) What is this relationship? (v) Use your graph to calculate the acceleration due to gravity. 8. [2006] In investigating the relationship between the period and the length of a simple pendulum, a pendulum was set up so that it could swing freely about a fixed point. The length l of the pendulum and the time t taken for 25 oscillations were recorded. This procedure was repeated for different values of the length. The table shows the recorded data. l/cm 40.0 50.0 60.0 70.0 80.0 90.0 100.0 t/s 31.3 35.4 39.1 43.0 45.5 48.2 50.1 The pendulum used consisted of a small heavy bob attached to a length of inextensible string. (i) Explain why a small heavy bob was used. (ii) Explain why the string was inextensible. (iii) Describe how the pendulum was set up so that it swung freely about a fixed point. (iv) Give one other precaution taken when allowing the pendulum to swing. (v) Draw a suitable graph to investigate the relationship between the period of the simple pendulum and its length. (vi) What is this relationship? (vii) Justify your answer.