physics please please please please please
posted by JayCee
a block of mass 2.50 kg rests on a ramp. if the coefficient of static friction between the block and ramp is 0.350, what maximum angle can the ramp make with the horizontal before the block starts to slip down?

Henry
F = 2.50 * 9.8 = 24.5N @ A deg.
Fp = 24.5*sinA = Force parallel with plane.
Fv = 24.5*cosA = Force perpendicular to
plane.
uFv = 0.35Fv = Force of friction.
Fp  0.35Fv = ma,
a = 0(block at rest),
Fp 0.35Fv = 0,
Fp = 0.35Fv,
24.5*sinA = 0.35*24.5*cosA,
Divide both sides by 24.5:
sinA = 0.35*cosA
Divide both sides by cosA:
sinA / cosA = 0.35,
sinA / cosA = TanA,
TanA = 0.35,
A = 19.3deg. 
abdirahman
answer
Respond to this Question
Similar Questions

College Physics
An 8.67kg block slides with an initial speed of 1.50 m/s down a ramp inclined at an angle of 27.1° with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.65. Use energy conservation to find the … 
Physics
An 8.74kg block slides with an initial speed of 1.52 m/s down a ramp inclined at an angle of 27.0° with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.64. Use energy conservation to find the … 
physics
A wooden box with a mass of 10.0kg rests on a ramp that is inclined at an angle of 25 degrees to the horizontal. A rope attatched to the box runs parallel to the ramp and then passes over a frictionless pulley. A bucket with a mass … 
Physics
A block is sitting on a ramp. The block feels a force of friction sufficient to keep it from sliding down the ramp, which makes an angle of 30 degrees w.r.t. horizontal. What is the minimum coefficient of static friction between the … 
Physics
the only part i cant figure out is the max static friction force that acts on the block. please help show me how to find it Suppose a block with mass 2.00 kg is resting on a ramp. If the coefficient of static friction between the block … 
Physics
An 8.70 kg block slides with an initial speed of 1.56 m/s **down** a ramp inclined at an angle of 28.4 with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.62. Use energy conservation to find … 
physics
An 8.65kg block slides with an initial speed of 1.52 m/s up a ramp inclined at an angle of 27.6° with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.56. Use energy conservation to find the … 
physics
A 20 kg block slides with an initial speed of 11 m/s up a ramp inclined at an angle of 25o with the horizontal. The coefficient of kinetic friction between the block and the ramp is 0.8. Use energy conservation to find the distance … 
Phyics
A box of mass 14.0 kg sits on a horizontal steel ramp 4.8 m long with a coefficient of static friction of 0.40 between the ramp and the box. The end of the ramp is slowly lifted until the box begins to slide down the ramp. What angle … 
Physics
A block is sitting on a rough ramp. It is found that a force of F = 200.0 N (directed up the ramp) is required to keep the box from sliding back down the ramp. The angle 𝜃 is 35.0o and the mass of the box is 150.0 kg. What …