### Given a cart and spring on incline, how do I find the period of oscillation?

Posted:

**Mon Oct 15, 2018 7:00 pm**hi I need a question answered

I need help on b

A cart of mass m is attached to a vertical spring of force constant k so that the spring stretches 20 cm. When the cart is set into oscillatory motion on the vertical spring, the period of the oscillation is 3 seconds. The cart is set on an incline angled at 30 and is attached to the top of the plane by the by the same spring.

(a) What is the stretch of the spring while the cart is on the incline?

(b) What is the period of the oscillatory motion that the cart could undergo on the incline.

For part a I got 10 cm and it was marked correct.

Here's where I'm not sure I'm going in the correct direction. To put in gravity, I introduce an angle theta. But I need to know more to use it.

I need help on b

A cart of mass m is attached to a vertical spring of force constant k so that the spring stretches 20 cm. When the cart is set into oscillatory motion on the vertical spring, the period of the oscillation is 3 seconds. The cart is set on an incline angled at 30 and is attached to the top of the plane by the by the same spring.

(a) What is the stretch of the spring while the cart is on the incline?

(b) What is the period of the oscillatory motion that the cart could undergo on the incline.

For part a I got 10 cm and it was marked correct.

Here's where I'm not sure I'm going in the correct direction. To put in gravity, I introduce an angle theta. But I need to know more to use it.