A child pulls a box with a force of at an angle of above the horizontal. Then the horizontal
and vertical components of the force will be:
1. 100 N, 175 N
2. 86.6 N, 100 N
3. 100 N, 86.6 N
4. 100 N, 0 N
A man rows a boat at a speed of in the northwest direction. The shoreline makes an angle of south of west. The component of the velocity of the boat along the shoreline is:
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2.
3.
4.
The linear velocity of a rotating body is given by , where is the angular velocity and r is the radius vector. The angular velocity of a body, and their radius vector is will be:
1.
2.
3.
4.
The displacement of a particle is given by . The initial velocity and initial acceleration, respectively, are: (\(Given: v=\frac{dx}{dt}~and~a=\frac{d^2x}{dt^2}\))
1. b, -4d
2. -d, 2c
3. b, 2c
4. 2c, -4d
The position x of the particle varies with time t as . The acceleration of the particle will be zero at a time equal to: (\(Given: a=\frac{d^2x}{dt^2}\))
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2.
3.
4. Zero
A body is moving according to the equation where x represents displacement and a, b and c are constants. The acceleration of the body is: (\(Given: a=\frac{d^2x}{dt^2}\))
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2.
3.
4.
A particle moves along the X-axis so that its X coordinate varies with time t according to the equation . The initial velocity of the particle is: (\(Given; v=\frac{dx}{dt}\))
1. -5 m/s
2. 6 m/s
3. 3 m/s
4. 4 m/s
The maximum value of the function is:
1. 8
2. -8
3. 4
4. -4
If , then f(x) has:
1. a minimum at x=1.
2. a maximum at x=1.
3. no extreme point.
4. no minimum.
The resultant of the forces and is . If is doubled, then the resultant also doubles in magnitude. Find the angle between and .
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4.