In: Physics
You are pulling a 4 kg object with 21 N at 60 degree with ground. What is acceleration?
Mass of object is
Pulling force is
Free body diagram is as shown
From the above diagram, resolve the pulling force into components.
i) horizontal component of force is
ii) vertical component of force is
Horizontal direction :
Apply newtons second law along horizontal direction,
Here is the acceleration in horizontal direction.
Substitute the known values,
Thus, the acceleration in horizontal direction is
Vertical Direction :
Weight of object is
here is acceleration due to gravity and its value is
Thus, the weight of object is
Since , there would not be any motion upwards. Thus its acceleration is zero in upward direction.
Hence the acceleration of object is only due to horizontal component and its value is