Question

b. A uniform rectangular block is being held on cart by a hinge at Point A and a roller at Point B (i.e. the block is not attached to Point B and force applied to the block at B is only in the x- direction). The cart is accelerating to the left at 3 m/s. What are the forces being applied to the block at Point A and Point B? 10 kg 0.3 m C. Above what cart acceleration will the block lose contact with Point B?

Answer 1

(b) Assumin the cart at the bottom Assuming block is not touching f supported by Ai & Bonly. Drawing FBD of block: as-(az 3 m/s) - RAX A MB 0.15ml Ray. BI-_- p toma canertia force passing throug in cas. RBx . consider force equilibrium in vertical direction: & Fyzo (prive) Ray - mg=0 Ray = 10 x g. 81 98.1N consider moment equilibrium about A: EMAGO (Ô tive ) Bge X OIS + max OS-maxoo. RB x x 0:15 RB 10x9:81X0.1 - 10 x 3 x 0:15 TR Bx = 35. Un | AISON 2 Ex=0 (no tive) Rare +R Bac + ma co RAY Ax: -35.4- TGX 3 -6 UN

So. Resultant force cet A! RA = JRAX" + Raya RA: V-654 12+ (98.1)? TRA= 117.9N| & IRB = R Bx = 35. 4N I B: loses contact with block cat which (C.) Acceleration live. RB = 0 = RB2). Call FBA with no contact at B is given below. Rasé Atas 0.15 m 4- Rayt - mat &w=lms will given Moment equilibrium about A EMA =O ( o tive) ma'x0.15 -max 0:1=0 a'- 10x9.81 X0,1 1oxo' a'. 65 4 m/s2