Вопрос
A block attached to an ideal spring undergoes simple harmonic motion.The acceleration of the block has its maximum magnitude at the point where a. the restoring force is the minimum b. the potential energy is the minimum c. the speed is the maximum d. the speed is the minimum
Решения
4.1
(123 Голоса)
Даниэль
Экспертная проверка
профессионал · Репетитор 6 лет
Ответ
d. the speed is the minimum
Объяснение
## Step 1In simple harmonic motion (SHM), the acceleration of the object is directly proportional to the displacement from the equilibrium position and is directed towards the equilibrium position. This is known as Hooke's Law.## Step 2The acceleration of the object is given by the formula
, where
is the acceleration,
is the angular frequency, and
is the displacement from the equilibrium position.## Step 3From the formula, it can be seen that the acceleration is maximum when the displacement is maximum. This occurs at the extreme positions of the motion, where the speed of the object is zero.## Step 4Therefore, the acceleration of the block has its maximum magnitude at the point where the speed is the minimum.