Section 5.6 Practice - Systems
Block A is accelerated across a frictionless horizontal table by a hanging 10 N weight. An identical block B is accelerated by a constant 10 N tension in a string. Neglect friction in both cases. Predict whether the magnitude of the acceleration of block B is greater than, less than, or equal to the magnitude of the acceleration of block A? Explain your reasoning.
Subsection Practice
Calculation 5.6.1. Angled ramp with a pulley.
A box (\(m_1 = 10.5 \mathrm{~kg}\)) is on an inclined plane with negligible friction between the box and the incline. This box is attached via an ideal string and pulley to the hanging mass (\(m_1 = 5.5 \mathrm{~kg}\)), as shown. The incline make an angle of 20.0° with respect to the horizontal. Use \(g = 9.80 \mathrm{~m/s^2}\text{.}\) Rank the magnitude of accelerations for \(m_1\) and \(m_2\text{.}\) Do we necessarily know the direction of acceleration of \(m_1\) without doing any calculations? Find the magnitude of acceleration for \(m_1\text{.}\) What direction is the acceleration of \(m_1\text{?}\)
Answer 1.
Answer 2.
Answer 3.
Answer 4.
\(|\vec{a}_1| = |\vec{a}_2|\)
No, but we can just guess a direction. For example, if we assume \(m_1\) accelerates up the ramp but our analysis results in a negative acceleration for \(m_1\text{,}\) that means we picked the wrong direction, but the magnitude of our result is correct.
\(1.17 \mathrm{~m/s^2}\)
Up the incline.
References References
[1]
Practice activities provided by BoxSand: https://boxsand.physics.oregonstate.edu/welcome.
