1.
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\caption{Fig. 1}
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A particle of mass 0.6 kg is attached to one end of a light elastic spring of natural length 1 m and modulus of elasticity 30 N . The other end of the spring is fixed to a point \(O\) which lies on a smooth plane inclined at an angle \(\alpha\) to the horizontal where \(\tan \alpha = \frac { 3 } { 4 }\) as shown in Figure 1.
The particle is held at rest on the slope at a point 1.2 m from \(O\) down the line of greatest slope of the plane.
- Find the tension in the spring.
- Find the initial acceleration of the particle.