If a rock is thrown upward on the planet mars with a velocity of 11 m/s, its height (in meters) after t seconds is given by h =
1 answer:
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Answer:
The magnitude of the tangential velocity is
The magnitude of the resultant acceleration at that point is
Explanation:
From the question we are told that
The mass of the uniform disk is
The radius of the uniform disk is
The force applied on the disk is
Generally the angular speed i mathematically represented as
Where is the angular displacement given from the question as
is the angular acceleration which is mathematically represented as
The moment of inertial is mathematically represented as
Substituting values
Considering the equation for angular acceleration
Substituting values
Considering the equation for angular velocity
Substituting values
The tangential velocity of a given point on the rim is mathematically represented as
Substituting values
The radial acceleration at hat point is mathematically represented as
The tangential acceleration at that point is mathematically represented as
Substituting values
The magnitude of resultant acceleration at that point is
Substituting values
Answer:
The x-component of is 56.148 newtons.
Explanation:
From 1st and 2nd Newton's Law we know that a system is at rest when net acceleration is zero. Then, the vectorial sum of the three forces must be equal to zero. That is:
(1)
Where:
,
,
- External forces exerted on the ring, measured in newtons.
- Vector zero, measured in newtons.
If we know that ,
,
and
, then we construct the following system of linear equations:
(2)
(3)
The solution of this system is:
,
The x-component of is 56.148 newtons.