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Home » Physics » First Year (New) » Chapter Two - Vectors and Equilibrium

Chapter Two – Vectors and Equilibrium

  • Question 2.1: A ship leaves a port P and travels 30 km due north. Then it changes course and travels 20 km in a direction 30 degrees east of north to reach port R. calculate the distance from P to R?

  • Question 2.2: A certain corner of a room is selected as the origin of a rectangular coordinate system. If an insect is sitting on an adjacent wall at a point having coordinates (2,1), where the units are in metres, what is the distance of the insect from this corner of the room?

  • Question 2.3: The scalar product of two vectors is 2√3 and the magnitude of their vector product is 2. What is the angle between them?

  • Question 2.4: A load of 10.0N is suspended from a clothes line. This distorts the line so that it makes an angle of 15° with the horizontal at each end. Find the tension in the clothes line.

  • Question 2.5: Four coplanar forces act on a body at a point O as shown in the figure. Find the resultant.

  • Question 2.6: A force of 5N is applied perpendicular to the Plane of a uniform door 2m high and 0.6m wide find the torque about the line joining the hinge?

  • Question 2.7: Find the magnitude of the forces provided by the supports A and B if shown a balance condition. Weight of the plank is 500N and it is uniform in shape. Weight of block = 100N Weight of the student = 500N.

  • Question 2.8:  Three forces are acting on a body as shown. Find the magnitude of their resultant and also state in which plane the final resultant lies.

  • Question 2.9: A meter rile is supported on a knife edge placed at the 40cm graduation. It is found that the meter rule balances horizontally when a mass which has a weight of 0.45 N is suspended at the 15cm graduation. As shown in the diagram. a) Calculate the moment, about the knife edge in …

  • Question 2.10: A uniform plank AB of length 4.0 m and weight 500 N is suspended by a vertical rope at each end. A girl of weight 300 N is standing at a distance of 1.2 m from the end A. By taking moments about A. calculate the tension in the rope supporting the end …

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