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biggs113056
03.07.2019 •
Physics
A1 kg ball is hung at the end of a rod 1 m long. if the system balances at a point on the rod one third of the distance from the end holding the mass, what is the mass of the rod?
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Ответ:
The mass of the rod on which balances the ball hung at one end is 2 kg.
The given parameters;
mass of the ball, m = 1 kglength of the rod, L = 1 mThe one-third distance from the point holding the mass is calculated as follows;
p = ¹/₃ x 1 = 0.33 m
0 0.33 m 1 m
------------------------------Δ----------------------------------------------------------
↓ ↓
W 1 kg
Take moment about the pivot;
W(0.33) = 1(1 - 0.33)
W(0.33) = 1(0.67)
Thus, the mass of the rod on which balances the ball hung at one end is 2 kg.
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Ответ:
2 kg
Explanation:
Assuming the rod's mass is uniformly distributed, the center of mass is at half the length.
Sum of the moments at the balance point:
-(Mg)(L/3) + (mg)(L/2 − L/3) = 0
(Mg)(L/3) = (mg)(L/2 − L/3)
(Mg)(L/3) = (mg)(L/6)
2M = m
M = 1 kg, so m = 2 kg.
The mass of the rod is 2 kg.
Ответ:
B. 50 m/s²
Explanation:
Given:
Initial velocity of the ball is,![u=0\ m/s](/tpl/images/0425/2337/e8977.png)
Final velocity of the ball is,![v=45\ m/s](/tpl/images/0425/2337/c3b1b.png)
Time taken by the ball is,![t=0.9\ s](/tpl/images/0425/2337/7ae36.png)
Acceleration is defined as the rate of change of velocity. So, the velocity of the ball is changing with time. So, acceleration is given as:
Plug in 0 for 'u', 45 for 'v', 0.9 for 't' and solve for acceleration, 'a'. This gives,
Therefore, the acceleration of the ball is 50 m/s².