To find the answer, take 55 and divide it by 1.85 to get the thickness of one card. In this case the answer would be 29.72973 cm. each.
Answer:
f = 7.11 Hz
Explanation:
Given that,
The amplitude of object in SHM, A = 0.02 m
The maximum acceleration of the object, a = 40 m/s²
We need to find the frequency of the system.
The maximum acceleration of the object in SHM is given by :
Where is angular frequency
We know that,
So, the frequency of the system is 7.11 Hz.
Answer:
The force applied on one wheel during braking = 6.8 lb
Explanation:
Area of the piston (A) = 0.4
Force applied on the piston(F) = 6.4 lb
Pressure on the piston (P) =
⇒ P =
⇒ P = 16
This is the pressure inside the cylinder.
Let force applied on the brake pad =
Area of the brake pad ()= 1.7
Thus the pressure on the brake pad () =
When brake is applied on the vehicle the pressure on the piston is equal to pressure on the brake pad.
⇒ P =
⇒ 16 =
⇒ = 16 ×
Put the value of we get
⇒ = 16 × 1.7
⇒ = 27.2 lb
This the total force applied during braking.
The force applied on one wheel = = = 6.8 lb
⇒ The force applied on one wheel during braking.
Answer: a) 24.2 rad/s² b) 6.95 rad/s
Explanation:
So the cylinder's moment of inertia is , where M is the mass of the cylinder and R is its radius.
The problem you have here is that the axle is modifying it, so we use the parallel axis theorem:
Therefore
where D is the distance from the center of mass to the axis which is a radius R
Next the Momentum with respect to the center of mass of the cylinder is
because there are no other forces rather than the cylinder's weight, now kg*m^2
a ) replace and find
b) we start by assuming that the energy is conserved because the cylinder is rolling without sliding:
so the potential energy is given by
now you have that the same amount is going to be equal to the kinetic rotational energy of the cylinder so
The working equation to be used for this is written below:
E = kQ/d²
where
E is the electric field
k is a constant equal to 8.99 x 10⁹ N m²/C²
Q is the charge
d is the distance
E = (8.99 x 10⁹ N m²/C²)(17×10⁻⁹ C)/(0.05 m)²
E = 61,132 N/C