
A simple pendulum is set up in a trolley that moves to the right with acceleration on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle with the vertical.
In the forward direction
In the backward direction
In the backward direction
In the forward direction
Answer
140.7k+ views
Hint: For solving this type of problem we should be able to know the first simple pendulum function and how the change in motion changes the string tension and everything. Motion, length, amplitude, mass are things that affect the swing of the pendulum.
Complete step by step solution Here in this question it is given that a trolley has an acceleration . As this trolley moves, their frame of reference also changes. Also, it is given that it makes some angle with the vertical. Therefore now through all this information, we will now be able to solve this problem.

Now we will go in the frame of the trolley, so for this, we will have the following conditions
Also, there will be a pseudo force having force in the opposite direction. This force will act when there is the ma force that is acting on the bob of the pendulum.
After a certain time the pendulum will make an angle from the mean position. So the new angle made by it will be as follows.
Tension on the string will be and the angles will be and as shown in the figure.
Due to gravity, there will be
Now balancing all four forces, we get
And the other equation will be
Now on dividing both the above equations, we get
Hence
So the answer will be in a backward direction.
Note: A setup could be a straightforward device composed of a weight suspended on a string, wire, metal, or different material that swings back and forth. Pendulums are utilized in gramps clocks and also they prefer to keep time.
Complete step by step solution Here in this question it is given that a trolley has an acceleration

Now we will go in the frame of the trolley, so for this, we will have the following conditions
Also, there will be a pseudo force having
After a certain time the pendulum will make
Tension on the string will be
Due to gravity, there will be
Now balancing all four forces, we get
And the other equation will be
Now on dividing both the above equations, we get
Hence
So the answer will be
Note: A setup could be a straightforward device composed of a weight suspended on a string, wire, metal, or different material that swings back and forth. Pendulums are utilized in gramps clocks and also they prefer to keep time.
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