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["iVBORw0KGgoAAAANSUhEUgAABIoAAAImCAIAAACzffYNAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for the motion of two blocks connected by a string over a pulley, where th(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAABH4AAAIGCAIAAACtdt/YAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks me to analyze the motion of a small mass `m` under the gravitational influ(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAABWYAAAQoCAIAAAAG95B4AAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for two quantities related to a swinging bar: the force on its pivot at th(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAAA/IAAAJuCAIAAACc067jAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for the initial motion of a cue ball after being struck, the condition und(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAAArAAAAJKCAIAAABbL+GeAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for the accelerations of two blocks in an Atwood machine setup. The key co(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAAAwYAAAJaCAIAAAAan8e7AAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for the equation of motion of a ball rolling inside a spherical bowl. This(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAABB4AAAHoCAIAAABhN7vHAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem is divided into two parts. Part (a) asks for the minimum impact parameter, $b_{(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAAA5oAAAIyCAIAAAAlryLrAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The first task (a) is to find the total angular momentum vector, $\\vec{L}$, of the gyrosco(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAAA84AAAH2CAIAAAAuwULmAAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for the dynamics of a bowling ball with initial linear velocity and backsp(...TRUNCATED)
["iVBORw0KGgoAAAANSUhEUgAAAuQAAAG+CAIAAABUO4Y+AAABY2lDQ1BJQ0MgUHJvZmlsZQAAeJxtkNErQ3EUx7+XrYmlPXgSdd(...TRUNCATED)
["\nLet's think step by step to answer the question. For text-based thinking, enclose the process wi(...TRUNCATED)
["<think>The problem asks for two quantities: the block's speed as a function of its angular positio(...TRUNCATED)
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