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PHYSICS, M2 EQ-Bank 7

With reference to the diagram provided, determine the angle of inclination at which the system remains in static equilibrium.   (2 marks)

(Assume the inclined plane is frictionless)

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→ For the system to be in static equilibrium, the force of the 500 g block, , down the slope must be equal to the weight force of the 250 g block, .

 
 
 

 

→ The angle of inclination needs to be .

PHYSICS, M2 EQ-Bank 6

A worker is using a pulley system to lift and lower a container at a construction site. The empty container has a mass of 5.0 kg, and when loaded with bricks, its mass increases to 18 kg.

The container is lowered vertically with a constant acceleration of 3.2 m/s. Later, it is lifted back up at a constant speed of 2.8 m/s.

  1. Calculate the tension in the rope while the container is being lowered.   (2 marks)
  1. Calculate the tension in the rope while the container is being raised.   (1 mark)
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a.   

b.   

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a.    → Force due to gravity acts in the opposite direction to the tension force in the rope.

→ Total force on the system

 
 
   
   

 

b.    → When the container is being raised, it is being raised at a constant speed.

→ Total force on the system is . 

.

PHYSICS, M2 EQ-Bank 5

Consider the system below:
 

Two blocks are connected by a light, inextensible string that passes over a frictionless pulley, as shown in the diagram.

The 3.0 kg block rests on a smooth, horizontal surface, while the other 6.0 kg block hangs vertically off the edge of the table.

  1.  Calculate the acceleration of the entire system.   (3 marks)
  1. Hence, determine the magnitude of the tension, , in the string at point .   (1 mark)
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a.    

b.   

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a.   

   
 

→ Substitute the first equation into the second equation:

 
 
 
 
   

 

b.   

PHYSICS, M2 EQ-Bank 2 MC

A 25 kg object is hanging from a string and is being pulled sideways by a force , so that the string makes an angle of 40° with the vertical, as shown in the diagram.

Assuming the object remains stationary, determine the magnitude of the force pulling the object?
 

  1. 115 N
  2. 157 N
  3. 191 N
  4. 206 N
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PHYSICS, M2 EQ-Bank 3

In the system diagram below, a 5-kilogram mass and masses and are held by high tensile frictionless wire in static equilibrium.
 

Using a vector diagram, calculate the masses of both and .   (4 mark)

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Using the sin rule both and can be calculated:

 
 
   

 

 

 

 

PHYSICS, M2 EQ-Bank 1

A concrete block with a weight of 1000 is lifted with a pulley and chain system.

Initially the block is suspended by the chain as seen below. The block is then pulled to the side using a rope and makes an angle of 40° with the vertical as shown below. Ignore the masses of the chain and rope.
 

  1. State the tension in the chain initially.   (1 mark)
  2. Draw a free body diagram representing the forces acting on the concrete block in the final situation.   (2 marks)
  3. Determine the magnitude of the force being applied on the rope and the tension in the chain in the final situation.   (3 marks)
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a.    

b. 
             

c.    

       

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a.     → Tension is equal and opposite to the weight force of 1000 down.

        → Hence the tension in the chain is 1000 up.

 
b. 
             

 
c. 
       

Using the triangle above: