1. ## mechanics M1 Alevel

A BODY OF MASS 5KG IS INITIALLY AT REST AT THE BOTTOM OF A ROUGH INCLINED PLANE OF LENGTH 6.3M THE PLANE IS INCLINED AT 30 DEGREES TO THE HORIZONTAL AND THE COEFFICIENT OF FRICTION BETWEEN THE BODY AND THE PLANE IS 0.3 a constant horizantal force of 60.6N is applied to the body causing it to accelerate up the plane find the time taken for the body to reach the top and its speed on arrival.
My Attempt MA=60.6 - {(0.3*5gCos30)+(5gsin30)} but i stuck here i dont know where to start from help

2. ## Re: mechanics M1 Alevel

If the applied force is horizontal then to get its component along the slope you need to multiply by cos30, and it will also make a contribution to the normal reaction and hence the force due to friction. What are you taking g to be equal to ?

3. ## Re: mechanics M1 Alevel

Originally Posted by abdulrehmanshah
A BODY OF MASS 5KG IS INITIALLY AT REST AT THE BOTTOM OF A ROUGH INCLINED PLANE OF LENGTH 6.3M THE PLANE IS INCLINED AT 30 DEGREES TO THE HORIZONTAL AND THE COEFFICIENT OF FRICTION BETWEEN THE BODY AND THE PLANE IS 0.3 a constant horizantal force of 60.6N is applied to the body causing it to accelerate up the plane find the time taken for the body to reach the top and its speed on arrival.
$F\cos{\theta} - mg\sin{\theta} - \mu(mg\cos{\theta} + F\sin{\theta}) = ma$