If three forces F1 = 20N, 300NE, F2 = 50N along W, F3 = 40N 500NW act on a body. Find the resultant in magnitude and direction.

Two 18 x 21 x 25 mm rubber mounts are used to isolate the vibrational motion of a machine from its supports. A 420-N applied loa

Zolol [24]

Answer:

a) γ =0.055556

b) t = 0.4 MPa

Explanation:

Given:

- The dimensions of rubber block : 18 x 21 x 25

- A load was applied at upper frame P = 420 N

- The rubber deflects dx = 1 mm downwards

Find:

(a) average shear strain in the rubber mounts

(b) average shear stress in the rubber mounts.

Solution:

- For average shear strain we have the definition:

γ = dx / y

Where,

γ: The shear strain.

dx : Deflection along the shear force

y : The length perpendicular to deflection.

- From given data we have dx = 1mm, and the dimension of block perpendicular to deflection is the a dimension. Hence, dx = 0.001 and y =0.018 m:

γ = 0.001 / 0.018 = 0.055556

- The average shear stress along the mating flat surface. We have from definition:

t = F_shear / Area

- Where, F_shear: The shear force on each rubber block is P/2.

Hence,

t = (P/2) / b*c

Plug values in:

t = (420/2) / (0.021*0.025)

t = 0.4 MPa

6 0

3 years ago

Compare blue and red light from the visible spectrum. which has: the longer wavelength? the greater frequency? the greater energ

Hitman42 [59]

1) By looking at the table of the visible spectrum, we see that blue light has a wavelength in the range [450-490 nm], while red light has wavelength in the range [620-750 nm]. Therefore, red light has longer wavelength than blue light.

2) The frequency f of an electromagnetic wave is related to its wavelength $\lambda$ by the formula
$f= \frac{c}{\lambda}$
where c is the speed of light. We see that the frequency is inversely proportional to the wavelength, so the shorter the wavelength, the greater the frequency. In this case, blue light has shorter wavelength than red light, so blue light has greater frequency than red light.

3) The energy of the photons of an electromagnetic wave is given by
$E=hf$
where h is the Planck constant and f is the frequency. We see that the energy is directly proportional to the frequency, so the greater the frequency, the greater the energy. In this problem, blue light has greater frequency than red light, so blue light has also greater energy than red light.

6 0

3 years ago

The electric field strength is 1.70 × 104 N/C inside a parallel-plate capacitor with a 0.800 m spacing. An electron is released

Vesna [10]

Answer:

Here, "v" is the velocity of electron and "V" is the potential.