Consider three properties of the net force on an object: a magnitude, direction, and angle with respect to the objects path. For
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Answer:
345 N
Explanation:
Given:
Normal weight of Rachel (mg) = 690 N
Case 1: Upward motion of elevator
Given:
Acceleration of elevator (a) = 0.25 g
The scale reading is given by the normal force acting on Rachel. Let N₁ be the normal force.
So, the net force acting on Rachel is given as:
Now, from Newton's second law:
Case 2: Downward motion of elevator
Given:
Acceleration of elevator (a) = 0.25 g
The scale reading is given by the normal force acting on Rachel. Let N₂ be the normal force.
So, the net force acting on Rachel is given as:
Now, from Newton's second law:
Now, the difference in the scale reading is obtained by subtracting equation (2) from equation (1). This gives,
Therefore, the difference between the up and down scale readings is 345 N.
Answer:
ω = 0.467 rad/s
Explanation:
given,
tangential force exerted by the person = 37.7 N
radius of merry-go-round = 2.75 m
mass of merry-go-round = 144 Kg
angle = 33.2°
moment of inertia
I = 544.5 kg.m²
torque = force x radius
τ = 37.7 x 2.75
τ = 103.675 N.m
angular acceleration
α = 0.190 rad/s²
now ,
distance =
d = 0.579 rad
we know,
using equation of rotational motion
t = 2.46 s
angular speed
ω = α x t
ω = 0.19 x 2.46
ω = 0.467 rad/s
Complete Question
The complete question is shown on the uploaded image
Answer:
The tension on the shank is
Explanation:
From the question we are told that
The strain on the strain on the head is
The contact area is
Looking at the first diagram
At 600 MPa of stress
The strain is
At 450 MPa of stress
The strain is
To find the stress at we use the interpolation method
Substituting values
Generally the force on each head is mathematically represented as
Substituting values
Now the tension on the bolt shank is as a result of the force on the 6 head which is mathematically evaluated as
