2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequency f' of the oscillation would be, (a) f' = 2f (b)f' = f (c) f' = f/2 (d)f' = 4f

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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PHYS220_Spring-20-21_Practice Sheet-1_Keys.pdf
oscillation, A, is:
(a) 0.12 m
(b)0.22 m
(c) 0.31 m
(d)0.42 m
2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the
mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequencyf' of
the oscillation would be,
(a) f' = 2f
(b)f' = f
(c) f' = f/2
(d)f' = 4f
The following given is for questions 3 and 4:
A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to
oscillates on a frictionless horizontal surface. At time t = 0 its position is xo = 0 and its velocity is
vo = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, :
(a) A = 0.5, p =n/2
(b)A = 0.5, ø=-1/2
(с) А %3D 0.25, ф -л/2
(d)A = 0.25, 9=-n/2
4) When the block's velocity has the value v = max/2, then its position has the possible values of:
(а)х %3D +(3/4)A
(b)x = ±A/2
(c) x = ±(v3/2)A
(d)x = ±(v2/2)A
5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table. Its
displacement varies with time according to x(t) = 0.2 cos(2t – 1/4). The earliest time the particle
reaches position x = 0.1 m is
(a) t =
S
24
(b) t =
24
47T
(c) t =
24
(d) t =
12
6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the
string makes -8° with the vertical and is then released from rest. If the angular displacement 0(t) is
written as a cosine function, then the phase constant o is:
Transcribed Image Text:1:26 PM .. ? 16% I PHYS220_Spring-20-21_Practice Sheet-1_Keys.pdf oscillation, A, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequencyf' of the oscillation would be, (a) f' = 2f (b)f' = f (c) f' = f/2 (d)f' = 4f The following given is for questions 3 and 4: A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to oscillates on a frictionless horizontal surface. At time t = 0 its position is xo = 0 and its velocity is vo = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, : (a) A = 0.5, p =n/2 (b)A = 0.5, ø=-1/2 (с) А %3D 0.25, ф -л/2 (d)A = 0.25, 9=-n/2 4) When the block's velocity has the value v = max/2, then its position has the possible values of: (а)х %3D +(3/4)A (b)x = ±A/2 (c) x = ±(v3/2)A (d)x = ±(v2/2)A 5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table. Its displacement varies with time according to x(t) = 0.2 cos(2t – 1/4). The earliest time the particle reaches position x = 0.1 m is (a) t = S 24 (b) t = 24 47T (c) t = 24 (d) t = 12 6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the string makes -8° with the vertical and is then released from rest. If the angular displacement 0(t) is written as a cosine function, then the phase constant o is:
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