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Project Caliper Chapter 3 Practice Problems Page 69 Problem 6-Dragging a cart ac

ID: 1532409 • Letter: P

Question

Project Caliper Chapter 3 Practice Problems Page 69 Problem 6-Dragging a cart across the floor You are pulling a cart that has a total mass of 10 kg across the floor using an applied force of F 30N force, which is angled upwards by above the horizontal direction. this cart has wheels, there is effectively no friction between the cart and the horizontal surface it is rolling (a) Draw an FBD for this cart below: FP 3D cos 30' (b) Find the x and y components of all of the force vectors: Frot (in newtons) Fy" (in newtons) Fx dc Find the Normal force acting on the cart, as well as the acceleration of the cart.

Explanation / Answer

(b)

FNx = 0

FNy = mg = FN

Fgx= 0

Fgy = mg = 10 * 9.8 = 98 N

Fx = 30 cos 30 = 25.98 N

Fy = 30 son 30 = 15 N

(c)

F N - mg = 0 =

FN = mg

= 10 (9.8) = 98 N

Fx= ma

a= Fx/m = 25.98 N/10

= 2.598 m/s^2