Which way does the blue arrow on the earth point

A uniform 1.5-kg rod that is 0.80 m long is suspended at rest from the ceiling by two springs, one at each end of the rod. Both

leonid [27]

Answer:

θ=5.65°

Explanation:

Given Data

Mass m=1.5 kg

Length L=0.80 m

First spring constant k₁=35 N/m

Second spring constant k₂=56 N/m

To find

Angle θ

Solution

As the both springs take half load so apply Hooks Law:

Force= Spring Constant ×Spring stretch

F=kx

x=F/k

as

$d=x_{1}-x_{2}\\ as \\x=F/k\\so\\d=\frac{F_{1} }{k_{1}} -\frac{F_{2}}{k_{2}}\\ Where \\F=1/2mg\\d=\frac{(1/2)mg}{k_{1}} -\frac{(1/2)mg}{k_{2}}\\ d=\frac{mg}{2}(\frac{1}{k_{1}} -\frac{1}{k_{2}} )\\ And\\Sin\alpha=d/L\\\\alpha =sin^{-1}[\frac{mg}{2L}(1/k_{1}-1/k_{2})]\\\alpha =sin^{-1}[\frac{(1.5kg)(9.8m/s^{2} )}{2(0.80m)}(1/35Nm-1/56Nm) ]\\\alpha =5.65^{o}$

θ=5.65°

5 0

4 years ago

A boy is pulling a wagon with a force of 70.0 N directed at an angle of 30 degrees above the horizontal. What are the x and y co

bogdanovich [222]

Answer:

x component is 60.60 N and y component is 35 N ⇒ answer A

Explanation:

A boy is pulling a wagon with a force of 70.0 N directed at an angle

of 30 degrees above the horizontal then,

$F_{x}$ is the horizontal component of the force in the direction

of positive part of x-axis

$F_{y}$ is the vertical component of the force force in the direction

of positive part of y-axis

The x component of the force $F_{x}$ is the force multiplied by

cos(30)°

The y component of the force $F_{y}$ is the force multiplied by

sin(30)°

→ The x component $F_{x}$ = F cos(30)

→ The x component $F_{x}$ = 70 cos(30) = 60.60 N

→ The y component $F_{y}$ = F sin(30)

→ The y component $F_{y}$ = 70 sin(3) = 35 N

<em>x component is 60.60 N and y component is 35 N</em>

7 0

4 years ago

What happens during the fall in September?

8090 [49]

Answer:

During the fall in September, the Sun passes from northern hemisphere towards equator. ... On this day, Sunlight directly falls on the equator i.e. the sun crosses celestial equator. Day time is equal to night time in the two hemispheres

Explanation:

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3 0

3 years ago

Read 2 more answers

Forest protect the soil from erosion ? True or False

Ivenika [448]

Answer:

Forests helps in binding the soil together. Thus, prevent soil from erosion.

4 0

2 years ago

Read 2 more answers