Thank you for visiting A schoolyard teeter totter has a total length of 5 34 m and a mass of 35 9 kg It is pivoted at its center. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Main Answer:
To maintain balance on the teeter-totter, the parent should push vertically downward with a force of 184 N at a distance of approximately 2.09 meters from the pivot point.
Explanation:
In order to keep the teeter-totter level, the torque produced by the parent's force must balance the torque caused by the child's weight. The torque exerted by the parent's force (τ_p) is calculated using the formula τ_p = Fd, where F is the force exerted (184 N) and d is the distance from the pivot point.
The torque caused by the child's weight (τ_c) is calculated as τ_c = mgd, where m is the child's mass (17.7 kg), g is the acceleration due to gravity (9.81 m/s^2), and d is the distance from the pivot point.
Setting these torques equal to each other and solving for d gives us the distance from the pivot point where the parent should push to maintain balance.
Thus, d = (m_c/m_p) * L, where m_c is the child's mass, m_p is the parent's force, and L is the length of the teeter-totter. Plugging in the values, we get d ≈ (17.7 kg / 184 N) * 5.34 m ≈ 2.09 m.
Therefore, the parent should push downward at a distance of approximately 2.09 meters from the pivot point to hold the teeter-totter level.
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