. A load mass of 100 gm increases the length of wire by 10 cm. If the system is kept in oscillation, its time period is (g = 10 m/s²) (a) 0.314 s (c) 0.628 s (b) 3.14 s (d) 6.28 s
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- A 1.4 kg mass attached to a horizontal spring oscillates at a frequency of 2.1 Hz. At t =0 s, the mass is at x= 1.1 m and has vx =− 2.9 m/s. What is the position (in meters) at t =2 s?0.60s A mass on a spring oscillates according to the equation v = -8.2cm/s Sin(t). What will be the velocity of the mass at t = 0.15 s? O A) 4.1 cm/s B) 8.2 cm/s C) -8.2 cm/s D) 0 cm/sAt an outdoor market, a bunch of bananasis set into oscillatory motion with an amplitude of 34.6313 cm on a spring with a springconstant of 14.7634 N/m. The mass of thebananas is 43.2987 kg.What is the maximum speed of the bananas?Answer in units of m/s.
- What frequency is depicted in the following equation of an oscillator? Assume that the units work out and the amplitude is in millimeters and the time tt is in seconds. x(t)=−2.2sin(40t−π3)x(t)=−2.2sin(40t−π3) a. 6Hz6Hz b. 20πHz20πHz c. 16Hz16Hz d. 180πHz180πHz e. π20Hzπ20Hz f. 80πHz80πHzA 0.500-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 3.16 s when the amplitude is 1.00 cm. The mass of the pendulum is now reduced to 0.250 kg. What is the period of oscillation now, when the amplitude is 2.00 cm?3. A 1.25-kg block oscillates on the end of a spring whose spring constant is k = 52.0 N/m. The mass moves in a fluid which offers a resistive force F = -bv where b = 0.662 Ns/m. (a) What is the period of the motion? (b) What is the fractional decrease in amplitude per cycle? (c) Write the displacement as a function of time if at t=0, x = 0, and at t = 1.00s, x = 0.120m.
- A mass of 0.301 kg is attached to a spring hanging from a ceiling. The mass oscillates with a period of 1.13 seconds. What mass must be added to the orginal 0.301 kg mass in order to increase the period to 1.75 seconds?What is the period of a pendulum if its string is 0.75 m long and the object at the end has a mass of 0.25 kg? Your answer: 1.0 s 1.7 s 3.0 s O 3.6 sA 0.95 kg mass hanging from a spring oscillates up and down according to the equation z(t) = (6.34 cm) sin ( (8.53 rad/s)t + π/4 ). What is the spring constant of the spring? Give your answer in units of N/m.