A block is at rest on the incline shown in the figure. The coefficients of stati

Question

A block is at rest on the incline shown in the figure. The coefficients of static and kinetic friction are µs = 0.47 and µk = 0.4, respectively. grant (dg38258) – HW#4 Ch5+6 Frictional Gravitational Forces – storr – (37573) 2 The acceleration of gravity is 9.8 m/s 2 . 32 kg µ 21 What is the frictional force acting on the 32 kg mass? Answer in units of N. 018 (part 2 of 3) 10.0 points What is the largest angle which the incline can have so that the mass does not slide down the incline? Answer in units of . 019 (part 3 of 3) 10.0 points What is the acceleration of the block down the incline if the angle of the incline is 29 ? Answer in units of m/s 2 .

Explanation / Answer

1) Force F = R (where R is normal reaction)
R = mgCos
= 0.47 x 32 x 9.81 x Cos 25
Frictional Force = 137.65 N

2) Limiting angle is when component of weight along plane = Frictional force
mg Sin = mgCos
= Sin / Cos = Tan = 0.51
Angle = Tan^-1 (0.47)
Largest Angle = 25.17°

3) At 29 °, force down plane = mg Sin and frictional force is (k)mgCos
Net force = mg ( Sin - (k)Cos )
= 32 x 9.81 (Sin 29 - 0.40Cos 29)
= 313.92 (0.484 - 0.193)
= 91.06 N  

Acceleration = Force / Mass = 91.06 /32 = 2.845 m /s^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.