Step-by-step explanation:
To determine the total mass (m), location of the center of mass (l, h), and adjust the position of key components for a 45:55 static weight balance, we need specific data regarding the components and their respective masses. Since Table 1 is not provided in the question, I cannot perform the calculations and adjustments accurately. However, I can provide you with the general approach and considerations involved.
i. Determining the Total Mass (m):
Add up the masses of all the components mentioned in Table 1 to calculate the total mass of the car.
ii. Locating the Center of Mass (l, h):
The center of mass represents the average position of the car's mass distribution. To determine the location of the center of mass, you need the mass and position of each component. The center of mass coordinates (l, h) can be calculated using the following formula:
l = (Σ(ml)) / m
h = (Σ(mh)) / m
Where ml and mh represent the mass of each component multiplied by their respective distance from a reference point, and m is the total mass of the car.
iii. Adjusting the Position of Key Components:
To achieve a 45:55 static weight balance, you would need to shift the positions of key components to redistribute the weight accordingly. This can be done by moving components closer to the desired heavier end of the car (in this case, the front) or by adding/removing weight from specific areas. For example, moving the engine closer to the front can shift more weight forward, while relocating the battery or other components towards the rear can adjust the weight distribution.
iv. Determining the Maximum Acceleration:
The maximum acceleration can be determined using the coefficient of friction (μ) and the weight (W) of the car. The maximum acceleration (a) can be calculated using the formula:
a = μ * g
Where g is the acceleration due to gravity (approximately 9.8 m/s^2).
By substituting the given coefficient of friction (1.35) and considering the weight distribution achieved in step iii, you can calculate the maximum acceleration both in m/s^2 and as a multiple of g.
Please note that without the specific data from Table 1, the calculations and adjustments provided here are general explanations. To obtain accurate results, the precise mass and position data of the components would be required.