A toy car rolls down a ramp. Which force causes the car to move
1 answer:
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Answer and Explanation:
1. Evaluate the function x(t) at t=0.5
2. The period of motion T can be calculated as:
Where:
So:
3. The angular frequency can be expressed as:
Solving for k:
4. Find the derivate of x(t):
Now, the sine function reach its maximum value at π/2 so:
Solving for t:
Evaluating v(t) for 0.6603981634:
So the maximum speed of the block is:
In the negative direction of x-axis
5. The force is given by:
The cosine function reach its maximum value at 2π so:
Solving for t:
Evaluating x(t) for 3.016592654:
Therefore the the maximum force on the block is: