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pogonyaev
3 years ago
11

Block on inclined plane experience a force due to gravity of 300N straight down. If the slope is inclined at 67.8°to the horizon

tal. What is the component of the force due to gravity perpendicular and parallel to the slope?
Physics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

The component of the force due to gravity perpendicular and parallel to the slope is  113.4 N and 277.8 N respectively.

Explanation:

Force is any cause capable of modifying the state of motion or rest of a body or of producing a deformation in it. Any force can be decomposed into two vectors, so that the sum of both vectors matches the vector before decomposing. The decomposition of a force into its components can be done in any direction.

Taking into account the simple trigonometric relations, such as sine, cosine and tangent, the value of their components and the value of the angle of application, then the parallel and perpendicular components will be:

  • Fparallel = F*sinα =300 N*sin 67.8° =300 N*0.926⇒ Fparallel =277.8 N
  • Fperpendicular = F*cosα =  300 N*cos 67.8° = 300 N*0.378 ⇒ Fperpendicular= 113.4 N

<u><em>The component of the force due to gravity perpendicular and parallel to the slope is  113.4 N and 277.8 N respectively.</em></u>

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Answer:

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3 years ago
The 5-lb collar is released from rest at A and travels along the frictionless guide. Determine the speed of the collar when it s
Sholpan [36]

Answer:

Explanation:

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length of vertical rod is 1.5 feet

Initial speed of collar when released from rest at A is 0 feet per seconds  

use the energy conservation equation

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P_A=Wh_1+\frac{1}{2} ks^2_1\\\\=5\times(1.5+1)+\frac{1}{2} \times 4 \times(1.5+1-0.5)^2\\\\=20.5lb.ft

Estimate the kinetic energy , component as position A as below

K_A=\frac{1}{2} \frac{W}{g} V^2_1\\\\=\frac{1}{2} \frac{5}{32.2} \times0^2\\\\=0lb.ft

Estimate the kinetic energy , component as position B as below

K_A=\frac{1}{2} \frac{W}{g} V^2_2\\\\=\frac{1}{2} \frac{5}{32.2} \times V^2_2\\\\=00777V^2_2

Substitute 20.5lb- ft for P_A

0.5lb-ft for P_B

0lb -ft for K_A

0.0777V_2^2 for K_B

20.5+0=0.5+0.777V^2_2\\\\V^2_2=257.6\\\\V_2=16.05

= 16.05ft/sec

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