The displacement of an oscillating mass is given by x(t) = 10 cos( 5 t). At time t = 2n s, what is the velocity of the mass in m/s? (Note that: n = 3.1415)

A mass of 1.79 kg is placed on a vertical spring.  What is the spring constant, in N/m, of a mass-spring system with a period of 0.7 s?

A small fly of mass 0.8 g is caught in a spider's web. The web oscillates predominantly with a frequency of 10 Hz. At what frequency (in Hz) would you expect the web to oscillate if an insect of mass 0.5 g were trapped? (What equation can I use to find the frequency at which it ocilates?)

The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distan Garbanzo Galaxy. A scouting party sets out to explore. The party's leader-a physicist, naturally—immediately makes a determination of the acceleration due to gravity gpp on the Pink Planet's surface by means of a simple pendulum of length 1.30 m. She sets the pendulum swinging, and her collaborators carefully count 110 complete cycles of oscillation during 205 s What does the party measure for gpp for the Pink Planet? 8PP = TOOLS хтоу m/s

A point with mass m is a distance d from the end of a bar, which we'll call x = 0. The mass-per-length > of the bar is low at one end and steadily increases toward the other end at x = L like λ = bx. m = 0.9 kg d = 12 cm L = 56 cm b = 2.6 × 1012 kg/m² Find F [N] = L d x=0

cle final answer lo Name towano ipali s 6. A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is x(t) = 8 cost, where t is in second and x in centimeter. a. equilibrium position www. 0 heb erit bail ol Find the velocity (magnitude and direction) of the 2π/3. mass at time t = (Positive direction is to the right.) XELS XUS b. Describe in words what is going on to the mass. - What direction is it moving? - Is it speeding up or slowing down? 7. Find the derivative of the function. Simplify as much as possible. f(x) = sin(x) cos(1-x²) 2=175 f.(x f(x) fcall a S

The displacement of an oscillating mass is given by x(t) = 30 cos( 4 t ).At time t = 0.5π s, what is the acceleration of the mass in m/s2?(Note that: π = 3.1415)

The equation of motion for a mass of 4.0 kg on a horizontal spring (a simple harmonic oscillator) is x= (0.50 m)cos[(3.0 rad/s)t] (x is in meters and tis in seconds.) What is the period of this motion? O 2.1s 19 s 4.7 s 0.33 s

A 0.75-kg mass oscillates according to the equation x(t)=0.85 cos(7.5t), where the position x(t) is measured in meters. What is the maximum acceleration of the mass, in meters per square second?

A 3 kg block attached to a spring with a spring constant of 9 N/m oscillates horizontally on a frictionless table. Its velocity is 7 m/s when x0 = 0.39 m. What is the block's maximum acceleration (in m/s^2)?