1. A mass is placed on a frictionless, horizontal table. A spring (k-119 N/m) which can be stretched or compressed, is placed on the table. A 6.1 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=5.1 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion in terms of the amplitude 'A', the angular velocity 'w', and the time 't'. Use the initial conditions to find the value of in the equations. Hint: Use the equation editor (orange button in the answer box) and find w in the greek letters. DO NOT USE numerical values for A and w for part (a). For example, a equation could be x(t) = Asin(wt). x(t) = v(t) = m/s a(t) = m/s² (b) Calculate w for this spring-mass system. rad/s @= m (c) Find the position, velocity, and acceleration of the mass at time t-2.9 s. Use w up to 4 significant figures in the calculation. Position: x = Velocity: v = Acceleration: a = m m S m
1. A mass is placed on a frictionless, horizontal table. A spring (k-119 N/m) which can be stretched or compressed, is placed on the table. A 6.1 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=5.1 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion in terms of the amplitude 'A', the angular velocity 'w', and the time 't'. Use the initial conditions to find the value of in the equations. Hint: Use the equation editor (orange button in the answer box) and find w in the greek letters. DO NOT USE numerical values for A and w for part (a). For example, a equation could be x(t) = Asin(wt). x(t) = v(t) = m/s a(t) = m/s² (b) Calculate w for this spring-mass system. rad/s @= m (c) Find the position, velocity, and acceleration of the mass at time t-2.9 s. Use w up to 4 significant figures in the calculation. Position: x = Velocity: v = Acceleration: a = m m S m
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Transcribed Image Text:1. A mass is placed on a frictionless, horizontal table. A spring (k-119 N/m) which can be stretched or
compressed, is placed on the table. A 6.1 kg mass is attached to one end of the spring, the other end
is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to
x=5.1 cm and releases it from rest. The mass oscillates in SHM.
(a) Determine the equations of motion in terms of the amplitude 'A', the angular velocity 'w', and the
time 't'. Use the initial conditions to find the value of in the equations.
Hint: Use the equation editor (orange button in the answer box) and find w in the greek letters. DO
NOT USE numerical values for A and w for part (a).
For example, a equation could be x(t) = Asin(wt).
x(t) =
v(t)=
a(t) =
(b) Calculate w for this spring-mass system.
✔rad/s
@=
Velocity: v =
m
(c) Find the position, velocity, and acceleration of the mass at time t=2.9 s. Use w up to 4 significant
figures in the calculation.
Position: x =
Acceleration: a =
m/s
m/s²
m
m
S
√
m
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