A wire is used to hold a uniform shelf $$\(A B\)$$ horizontally in equilibrium as shown in Fig. 3.2. Fig. 3.2 (not to scale) The wire is connected to the midpoint of shelf $$\(A B\)$$ at an angle of $$\(50^{\circ}\)$$ to the horizontal. The shelf is attached to a wall by a hinge at $$\(A\)$$. The length of shelf $$\(A B\)$$ is 0.65 m and its weight is 33 N . A cup of weight 1.5 N rests on the shelf with its centre of gravity at a horizontal distance of 0.12 m from B . (i) By taking moments about A , determine the tension in the wire. tension = .................................................. N .................................................................................................................................

Physics
IGCSE&ALevel
CAIE
Exam No:9702_w24_qp_22 Year:2024 Question No:3(c)

Answer:





Knowledge points:

6.1.1 appreciate that deformation is caused by a force and that, in one dimension, the deformation can be tensile or compressive
6.1.2 describe the behaviour of springs in terms of load, extension, elastic limit, Hooke’s law and the spring constant (i.e. force per unit extension)
6.1.3 define and use the terms stress, strain and the Young modulus
6.1.4 describe an experiment to determine the Young modulus of a metal in the form of a wire
6.2.1 distinguish between elastic and plastic deformation of a material
6.2.2 understand that the area under the force-extension graph represents the work done
6.2.3 deduce the strain energy in a deformed material from the area under the force-extension graph

Solution:

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