In a shop window an illuminated spot on a display oscillates between positions W and Z with simple harmonic motion.

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1 Quesions 1 and 2 refer o he informaion below. In a shop window an illuminaed spo on a display oscillaes beween posiions W and Z wih simple harmonic moion. The diagram shows he display wih a scale added. W X Y Z.2m.1m.1 m.2 m.3 m 1 The acceleraion of he spo a posiion ms 2. X is +1.5 Wha is he acceleraion of he spo a posiion Y? +1.5ms 2 +3.ms 2 1.5ms 2 3.ms 2 2 The maximum velociy of he spo is ms Wha is he angular frequency ω of he spo? 1 2 rad s 1 2 rad s 1 2 rad s 1 4 rad s 1 PhysicsndMahsTuor.com

2 Quesions 3 and 4 refer o he graphs below. Energy Energy Energy Energy isplacemen isplacemen isplacemen isplacemen 3 Which graph correcly shows he variaion of poenial energy wih displacemen for a paricle undergoing simple harmonic moion? 4 Which graph correcly shows he variaion of oal energy wih displacemen for a paricle undergoing simple harmonic moion? PhysicsndMahsTuor.com

3 5 Whils a car is being driven over a bridge, i ses he bridge ino vibraion. Which of he following erms definiely describes he oscillaions of he bridge? The oscillaions of he bridge are free. forced. naural. resonan. PhysicsndMahsTuor.com

4 6 The graph shows how he acceleraion varies wih ime for an objec undergoing simple harmonic moion. a Which of he following graphs,,, or, shows how he velociy of he objec varies wih ime? v v v v PhysicsndMahsTuor.com

5 7 mass is bouncing on he end of a verical spring. Is moion will be simple harmonic if he spring can sore energy. has elasiciy. is hung verically. obeys Hooke s law. PhysicsndMahsTuor.com

6 Quesions 8 and 9 refer o he graphs below. isplacemen isplacemen isplacemen isplacemen 8 For an objec undergoing simple harmonic moion selec he graph ha represens he variaion of kineic energy wih displacemen. 9 For an objec undergoing simple harmonic moion selec he graph ha represens he variaion of he oal energy wih displacemen. PhysicsndMahsTuor.com

7 1 Which of he following is no an example of simple harmonic moion? car bouncing on is suspension sysem. child jumping on a rampoline. person bouncing on he end of a bungee cord. swinging pendulum in a grandfaher clock. (Toal for Quesion 11 mass-spring sysem is se ino simple harmonic moion. Which graph shows he variaion of he acceleraion, a, of he mass wih is displacemen, x? a a a a x x x x PhysicsndMahsTuor.com

8 12 mass is hung from a spring and se ino verical oscillaion. Which row in he able correcly shows he kineic energy E k of he mass a maximum displacemen and he poenial energy E p of he mass a he equilibrium posiion. Maximum displacemen posiion E k is a maximum E k is a maximum E k is zero E k is zero Equilibrium posiion E p is minimum E p is a maximum E p is a maximum E p is minimum PhysicsndMahsTuor.com

9 Quesions 13 and 14 refer o he diagram below. moion. v 13 x x x x (Toal for Quesion 14 E E E E (Toal for Quesion PhysicsndMahsTuor.com

10 15 bridge vibraes genly as cars are driven across i. This is an example of forced oscillaion. free oscillaion. resonance. saionary waves. (Toal for Quesion PhysicsndMahsTuor.com

11 Use he graphs below for quesions 16, 17 The graph below shows how displacemen varies wih ime for a paricle moving wih undamped simple harmonic moion during a paricular ime inerval. s/m /s For each of he quesions 8 o 1, which of he following graphs bes represens he quaniies described during he corresponding ime inerval? Each graph may be used once, more han once or no a all. /s /s /s /s 16 The velociy of he paricle. (Toal for Quesion 17 The acceleraion of he paricle. (Toal for Quesion PhysicsndMahsTuor.com

12 18 The oal energy of he paricle. (1) (Toal for Quesion 19 mass is hanging verically from a spring. The mass is se ino small ampliude verical oscillaions. The oal energy of he undamped oscillaing sysem is a maximum a an exreme posiion of he mass. a maximum a he mean posiion of he mass. a minimum a he mean posiion of he mass. he same a all posiions of he mass. PhysicsndMahsTuor.com

13 2 n objec is undergoing simple harmonic moion. Which graph shows how he acceleraion a varies wih displacemen x from he equilibrium posiion? a a a a x x x x 21 n objec is hung from a verical spring and undergoes undamped simple harmonic moion. I is correc o say ha here are no changes in he elasic poenial energy of he oscillaing sysem. graviaional poenial energy of he oscillaing sysem. kineic energy of he oscillaing sysem. oal energy of he oscillaing sysem. PhysicsndMahsTuor.com

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