An object of mass 0.40 kg, hanging from a spring with a spring constant of 8.0 N/m, is set into an up-and-down simple harmonic motion. What is the magnitude of the acceleration of the object when it is at its maximum displacement of 0.10 m?
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An object of mass 0.40 kg, hanging from a spring with a spring constant of 8.0 N/m, is set into an up-and-down
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- An object undergoing simple harmonic motion takes 0.11 s to travel from one point of zero velocity to the next such point. The distance between those points is 43 cm. Calculate (a) the period, (b) the frequency, and (c) the amplitude of the motion. (a) Number i Units (b) Number i Units (c) Number i UnitsThe function x = (8.4 m) cos[(4лrad/s)t + π/5 rad] gives the simple harmonic motion of a body. At t = 8.4 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?In the figure, two blocks (m = 2.40 kg and M = 12.0 kg) and a spring (k = 260 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.350. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block? 00000000 m M
- The graph shows the x-displacement as a function of time for a particular object undergoing simple harmonic motion. This function can be described by the following formula:x(t) = Acos(ωt+φ)where x and A are measured in meters, t is measured in seconds, ω is measured in 1/s and φ is measured in radians. A=2.90m, T=4.00s, ω=1.57 1/s, f=2.50*10^-1 Hz Determine the phase constant i.e. find the smallest positive value for φ.The function x = (6 m) cos[(4π rad/s)t + π/8 rad] gives the simple harmonic motion of a body. At t =3 s, what are the (a) acceleration, and (b) phase of the motion?Two particles oscillate in simple harmonic motion along a common straight-line segment of length 0.86 m. Each particle has a period of 3.8 s, but they differ in phase by π/6 rad. (a) How far apart are they 1.4 s after the lagging particle leaves one end of the path? (b) Are they then moving in the same direction, toward each other, or away from each other?
- In the figure, two blocks (m = 2.40 kg and M = 12.5 kg) and a spring (k = 280 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.320. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block? %3D 00000000 M Number UnitsAn object in simple Harmonic motion has an equilibrium position x=0.00m. At some instant in time, the position of the object is +3.00 m the velocity is -2.00 m/s , and the acceleration is +9.00 m/s^2. Comment on the correctness of the statement.