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Free_Kalibri [48]
4 years ago
14

An object in simple harmonic motion has an amplitude of 0.360 m and an oscillation period of 0.620 s. Determine the maximum spee

d of the motion.
Physics
1 answer:
steposvetlana [31]4 years ago
5 0

Answer:

3.648 m/s

Explanation:

Data provided in the question:

Amplitude, A = 0.360 m

oscillation period, T = 0.620 s

The maximum speed of the motion, V = A × ω

where,

ω = Angular speed

also,

ω = (2π) / T

on substituting the respective values, we get

ω = (2π) / 0.620

or

ω = 10.134 rad / s

therefore,

V = 0.360 × 10.134 = 3.648 m/s

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GarryVolchara [31]

Answer:

Part a)

y = 88.5 m

Part b)

v_x = 7.7 m/s

v_y = 2.5 m/s

Part c)

equation of position in x direction is given as

x = v_x t

equation of position in y direction is given as

y = v_y t + \frac{1}{2}gt^2

Part d)

x = 30.8 m

Part e)

H = 88.5 m

Part f)

t = 1.2 s

Explanation:

As we know that ball is projected with speed

v = 8.10 m/s at an angle 18 degree below the horizontal

so we will have

v_x = 8.10 cos18

v_x = 7.7 m/s

v_y = 8.10 sin18

v_y = 2.5 m/s

Part a)

Since it took t =4 s to reach the ground

so its initial y coordinate is given as

y = v_y t + \frac{1}{2}a_y t^2

y = 2.5(4) + \frac{1}{2}(9.81)(4^2)

y = 88.5 m

Part b)

components of the velocity is given as

v_x = 8.10 cos18

v_x = 7.7 m/s

v_y = 8.10 sin18

v_y = 2.5 m/s

Part c)

equation of position in x direction is given as

x = v_x t

equation of position in y direction is given as

y = v_y t + \frac{1}{2}gt^2

Part d)

distance where it will strike the floor is given as

x = v_x t

x = 7.7 \times 4

x = 30.8 m

Part e)

Height from which it is thrown is same as initial y coordinate of the ball

so it is given as

H = 88.5 m

Part f)

time taken by ball to reach 10 m below is given as

y = v_y t + \frac{1}{2}gt^2

10 = 2.5t + \frac{1}{2}(9.81) t^2

t = 1.2 s

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I think its angular velocity would increase

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Given: Please see the attached image below.

 

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So in this problem, the two vectors that will have the largest magnitude are A & F when subtracted (i.e., when one vector is subtracted from the other).

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