Question

Spiderman sits on the steeply sloped roof of a home watching for the Green Goblin. The roof is angled at 76.0 ⁰ to the horizontal. The mass of Spiderman is 82.0 kg. Your job is to find the coefficient of static friction between Spiderman’s sticky fingers and the roof if he is not sliding down the slope. (In the superhero world, values for μ can be anywhere between 0 and 5)
STEP 1: List variables below and draw a labeled Free Body Diagram
STEP2: Complete all angle and basic calculations so you can proceed to net force equations
STEP 3: Complete two net force equations here
STEP 4: Solve for the unknown variable

Answer 1

As per the question,

The angle of the slop$=76^\circ$

Mass of the spider man (M)=82kg

Let coefficient of the friction$=\mu$

The spider man is in equilibrium position, the block diagram of the spider man on the incline plane is given below,

$N=mg\cos\theta$

$mg\sin\theta=\mu N$

$mg\sin\theta= \mu mg \cos \theta$

$\mu=\tan\theta$

$\mu =\tan(76)=4.01$

Net force is zero, because it is in equilibrium situation.