P Physics Multiple Choice Practice Oscillations. ass, attache to a horizontal assless spring with spring constant, is set into siple haronic otion. Its axiu isplaceent fro its equilibriu position is. What is the ass s spee as it passes through its equilibriu position? ( ) 0 ( B) ( C) ( D) 3. siple penulu of ass an length L has a perio of oscillation T at angular aplitue θ = 5 easure fro its equilibriu position. If the aplitue is change to 0 an everything else reains constant, the new perio of the penulu woul be approxiately. () T (B) ( ) T (C) T (D) T / ( ) (E) T / 4. ass is attache to a spring with a spring constant. If the ass is set into siple haronic otion by a isplaceent fro its equilibriu position, what woul be the spee, v, of the ass when it returns to the equilibriu position? ( E) g ( ) v = ( B) v = ( C) v = ( D) v = ( E) v = g 6. What is the perio of a siple penulu if the cor length is 67 c an the penulu bob has a ass of.4 g. () 0.59 s (B).63 s (C) 3.86 s (D) 6.3 s (E) 4.3 s 9. The length of a siple penulu with a perio on Earth of one secon is ost nearly () 0. (B) 0.5 (C) 0.50 (D).0 (E) 0.0. n object swings on the en of a cor as a siple penulu with perio T. nother object oscillates up an own on the en of a vertical spring also with perio T. If the asses of both objects are ouble, what are the new values for the Perios? Penulu Mass on Spring T () T (B) T T (C) T T T T (E) T (D) T 3. n object is attache to a spring an oscillates with aplitue an perio T, as represente on the graph. The nature of the velocity v an acceleration a of the object at tie T/4 is best represente by which of the following? () v > 0, a > 0 (B) v > 0, a < 0 (C) v > 0, a = 0 (D) v = 0, a < 0 (E) v = 0, a = 0 4. When an object oscillating in siple haronic otion is at its axiu isplaceent fro the equilibriu position. Which of the following is true of the values of its spee an the agnitue of the restoring force? Spee Restoring Force () Zero Maxiu (B) Zero Zero (C) ½ axiu ½ axiu
(D) Maxiu (E) Maxiu ½ axiu Zero 6. The graph shown represents the potential energy U as a function of isplaceent x for an object on the en of a spring oscillating in siple haronic otion with aplitue xο. Which of the following graphs represents the inetic energy K of the object as a function of isplaceent x? Questions 7-8 sphere of ass, which is attache to a spring, is isplace ownwar fro its equilibriu position as shown
above left an release fro rest. sphere of ass, which is suspene fro a string of length L, is isplace to the right as shown above right an release fro rest so that it swings as a siple penulu with sall aplitue. ssue that both spheres unergo siple haronic otion 7. Which of the following is true for both spheres? () The axiu inetic energy is attaine as the sphere passes through its equilibriu position (B) The axiu inetic energy is attaine as the sphere reaches its point of release. (C) The iniu gravitational potential energy is attaine as the sphere passes through its equilibriu position. (D) The axiu gravitational potential energy is attaine when the sphere reaches its point of release. (E) The axiu total energy is attaine only as the sphere passes through its equilibriu position. 8. If both spheres have the sae perio of oscillation, which of the following is an expression for the spring constant () L / g (B) g / L (C) L / g (D) g / L (E) g / L 9. bloc attache to the lower en of a vertical spring oscillates up an own. If the spring obeys Hooe's law, the perio of oscillation epens on which of the following? I. Mass of the bloc II. plitue of the oscillation III. Force constant of the spring () I only (B) II only (C) III only (D) I an II (E) I an III 0. siple penulu an a ass hanging on a spring both have a perio of s when set into sall oscillatory otion on Earth. They are taen to Planet X, which has the sae iaeter as Earth but twice the ass. Which of the following stateents is true about the perios of the two objects on Planet X copare to their perios on Earth? () Both are shorter. (B) Both are the sae. (C) Both are longer. (D) The perio of the ass on the spring is shorter; that of the penulu is the sae. (E) The perio of the penulu is shorter; that of the ass on the spring is the sae. siple penulu of length l, whose bob has ass, oscillates with a perio T. If the bob is replace by one of ass 4, the perio of oscillation is () 4 T (B) T (C) T (D) T (E)4T
Questions -3 0.l -ilogra bloc is attache to an initially unstretche spring of force constant = 40 newtons per eter as shown above. The bloc is release fro rest at tie t = 0.. What is the aplitue, in eters, of the resulting siple haronic otion of the bloc? () 40 (B) 0 (C) 4 3. What will the resulting perio of oscillation be? () 40 s (B) 0 s (C) (D) 0 s (D) (E) 5 s (E) 4 s 4. ball is roppe fro a height of 0 eters onto a har surface so that the collision at the surface ay be assue elastic. Uner such conitions the otion of the ball is () siple haronic with a perio of about.4 s (B) siple haronic with a perio of about.8 s (C) siple haronic with an aplitue of 5 (D) perioic with a perio of about.8 s but not siple haronic (E) otion with constant oentu Questions 5-6 refer to the graph below of the isplaceent x versus tie t for a particle in siple haronic otion. 5. Which of the following graphs shows the inetic energy K of the particle as a function of tie t for one cycle of otion?
6. Which of the following graphs shows the inetic energy K of the particle as a function of its isplaceent x? 7. ass is attache to a vertical spring stretching it istance. Then, the ass is set oscillating on a spring with an aplitue of, the perio of oscillation is proportional to () g (B) g (C) g (D) g 8. Two objects of equal ass hang fro inepenent springs of unequal spring constant an oscillate up an own. The spring of greater spring constant ust have the () saller aplitue of oscillation (B) larger aplitue of oscillation (C) shorter perio of oscillation (D) longer perio of oscillation (E) lower frequency of oscillation (E) g Questions 9-30. bloc on a horizontal frictionless plane is attache to a spring, as shown above. The bloc oscillates along the x-axis with siple haronic otion of aplitue. 9. Which of the following stateents about the bloc is correct?
() t x = 0, its velocity is zero. (C) t x =, its isplaceent is at a axiu. (E) t x =, its acceleration is zero. (B) t x = 0, its acceleration is at a axiu. (D) t x =, its velocity is at a axiu. 30. Which of the following stateents about energy is correct? () The potential energy of the spring is at a iniu at x = 0. (B) The potential energy of the spring is at a iniu at x =. (C) The inetic energy of the bloc is at a iniu at x =0. (D) The inetic energy of the bloc is at a axiu at x =. (E) The inetic energy of the bloc is always equal to the potential energy of the spring. 3. siple penulu consists of a l.0-ilogra brass bob on a string about.0 eter long. It has a perio of.0 secons. The penulu woul have a perio of.0 secon if the () string were replace by one about 0.5 eter long (B) string were replace by one about.0 eters long (C) bob were replace by a 0.5-g brass sphere (D) bob were replace by a 4.0-g brass sphere (E) aplitue of the otion were increase 3. penulu with a perio of s on Earth, where the acceleration ue to gravity is g, is taen to another planet, where its perio is s. The acceleration ue to gravity on the other planet is ost nearly () g/4 (B) g/ (C) g (D) g (E) 4g 33. frictionless penulu of length 3 swings with an aplitue of 0. t its axiu isplaceent, the potential energy of the penulu is 0 J. What is the inetic energy of the penulu when its potential energy is 5 J? () 3.3 J (B) 5 J (C) 6.7 J (D) 0 J (E) 5 J 34. n ieal assless spring is fixe to the wall at one en, as shown above. bloc of ass M attache to the other en of the spring oscillates with aplitue on a frictionless, horizontal surface. The axiu spee of the bloc is v. The force constant of the spring is () Mg (B) Mgv (C) Mv (D) Mv (E) Mv 35. siple penulu has a perio of s for sall aplitue oscillations. The length of the penulu is ost nearly () /6 (B) /4 (C) / (D) (E) 36. ass M suspene by a spring with force constant has a perio T when set into oscillation on Earth. Its perio on Mars, whose ass is about /9 an raius / that of Earth, is ost nearly () T/3 (B) T/3 (C) T (D) 3T/ (E) 3T 37. ass M suspene on a string of length L has a perio T when set into oscillation on Earth. Its perio on Mars, whose ass is about /9 an raius / that of Earth, is ost nearly () T/3 (B) T/3 (C) T (D) 3T/ (E) 3T 38..0 g ass is attache to the en of a vertical ieal spring with a force constant of 400 N/. The ass is set in siple haronic otion with an aplitue of 0 c. The spee of the.0 g ass at the equilibriu position is () /s (B) 4 /s (C) 0 /s (D) 40 /s (E) 00 /s
39. n object of ass hanging fro a spring of spring constant oscillates with a certain frequency. What is the length of a siple penulu that has the sae frequency of oscillation? () / g (B) g / (C) g / (D) / g (E) g /