An object of mass 0.9 kg is attached to a massless string of length 3 m, and swung with 3 a tangential velocity of 3 m/s. What i
1 answer:
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Total distance moved by bead is 1.952 cm.
Explanation:
Let first consider all data that are given in question.
1. F = 8 N ...force acting on string
2. f = 2 Hz ...frequency of system
3. β = 4 cm = 0.04 m ...wavelength of wave formed due to vibration 4. A = 1 cm = 0.01 m ...Amplitude of vibration
Under certain conditions, waves can bounce back and forth through a particular region, effectively becoming stationary. These are called standing waves.
Here,it is due to vibration induced in spring due to tension induced in string
Standing wave equation is given by
...(1)
Let first find, value of K, x, w, t
k = 2 * pi / beta ....(2)
Where β is wavelength in meters
K is wave number
k = 2 * pi / 0.01
k = 628.31
now, let us find value of w
W = 2 x pi x f ....(3)
where f is frequency in hertz
W = 2 x pi x 2
W = 4 x pi
W = 0.08
now, let us find value of v that is wave speed
Notice that some x-positions of the resultant wave are always zero no matter what the phase relationship is. These positions are called nodes.
Finding the positions where the sine function equals zero provides the positions of the nodes.
In our case, and
K * x = pi
x = 0.04 / 2
x = 0.02
Y = 1.952 cm
Finally, when bead is at middle of the string, total distance after stretch covered is 1.952 cm.
Answer:
dJ = 1.7 m
Explanation:
The Equation of the Balancing the moments in the center of the seesaw is like this:
∑Mo = 0
Mo = F*d
Where:
∑Mo : Algebraic sum of moments in the center(o) of the balance
Mo : moment in the o point ( N*m)
F : Force ( N)
d : distancia of the force to the the o point ( N*m)
Data
mA = 60 kg : mass of the Anna
mJ = 70 kg : mass of theJon
dA = 2 m : Distance from Anna to the center of the seesaw
g: acceleration due to gravity
Calculation of the distance from Jon to the center of the seesaw (dJ)
∑Mo = 0 WA : Ana's weight , WJ : Jon's weight
W = m*g
(WA)(dA) - (WJ) (dJ) = 0
(mA*g)(dA) - (mJ*g)(dJ) = 0
We divide by g the equation:
(mA)(dA) - (mJ)(dJ)= 0
(mA)(dA) = (mJ)(dJ)
dJ = 1.7 m