A labor is trying to pull a block of mass m on an inclined frictionless plane using a system of. What will be the magnitude of minimum force needed to pull this block up (consider rope and pulley are massless)?
A labor is trying to pull a block of mass m on an inclined frictionless plane using a system of. What will be the magnitude of minimum force needed to pull this block up (consider rope and pulley are massless)? Correct Answer mg sin θ
Concept:
- Force: It is a kind of push or pulls applied to an object which causes it to accelerate at a certain rate
- i.e., Force produces acceleration in a body.
∴ F = m × a
- A simple machine that uses wheel and rope to lift a heavy load is called a pulley system
- Pulley: It is a simple wooden or metallic machine that uses the wheel and rope to lift heavy loads.
- Tension: The tension force is defined as the force that is transmitted through a rope, string, or wire when pulled by forces acting from opposite sides.
- Mass: It is the measure of the amount of matter in a body. The SI unit of mass is kilogram (kg)
- Weight: It is the measure of the force of gravity acting on a body.
And the weight of the body is given as,
Weight of body (W) = mass (m)× acceleration due to gravity (g)
Here,
Mass of object/body = m
Rate of acceleration = a
Acceleration due to gravity = g
Force acting on object = F
Explanation:
According to our given condition,
If a block of mass m is kept on an inclined plane its free body diagram can be represented as
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Here g is acceleration due to gravity acting on the block whereas g cos θ and g sin θ is its cos and sin component respectively.
From this we can see that the block will be accelerated downward at the rate of g sinθ .
Thus, the net force needed to pull the block upward must be greater than or equal to mg sin θ
i.e., Fmin = mg sin θ
