Answer:
(M)_A = (M)_b = 76027.5 Nm
Explanation:
Step 1:
- We will first mark each weight from left most to right most.
Point: Weight:
G_3 W_g3 = 6 Mg*g
G_2 W_g2 = 0.5 Mg*g
G_1 W_g1 = 1.5 Mg*g
Load W_L = 2 Mg*g
Step 2:
- Set up a sum of moments about pivot point B, the expression would be as follows:
(M)_b = W_g3 * 7.5 + W_g2*4 - W_g1*9.5 - W_L*12.5
Step 3:
- Plug in the values and solve for (M)_b, as follows:
(M)_b = 9.81*10^3( 6* 7.5 + 0.5*4 - 1.5*9.5 - 2*12.5)
(M)_b = 9.81*10^3 * (7.75)
(M)_b = 76027.5 Nm
Step 4:
- Extend each line of action of force downwards, we can see that value of each force does not change also the moment arms of each individual weight also remains same. Hence. we can say that (M)_A = (M)_b = 76027.5 Nm
Answer:
3.90 degrees
Explanation:
Let g= 9.81 m/s2. The gravity of the 30kg grocery cart is
W = mg = 30*9.81 = 294.3 N
This gravity is split into 2 components on the ramp, 1 parallel and the other perpendicular to the ramp.
We can calculate the parallel one since it's the one that affects the force required to push up
F = WsinΘ
Since customer would not complain if the force is no more than 20N
F = 20
So the ramp cannot be larger than 3.9 degrees
Answer:
D
Explanation:
The decrease in potential energy is equal to the increase in kinetic energy.
mgh
250 x 9.8 x 30
=73, 500
Answer:
Satellite D has a mass (kg) of 500 and the distance from Earth (km) is 320.
Explanation:
The universal law of gravitation states that the force between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
We have to choose the satellite having greatest gravitational force with earth. In all options the distance from the earth is same i.e. 320 km. So, we have to select the satellite having maximum mass because the mass of the earth is constant.
Hence, the correct option is (D) " Satellite D has a mass (kg) of 500 and the distance from Earth (km) is 320 ".
Higher voltage means faster rotation. Changing the voltage polarity changes the direction of the motor.
