MOCK TEST-1_DYNAMICS

A particle moving in a straight line has an acceleration of a = (2t−6) m/s^2, where t is in seconds. What is the particle’s velocity when t = 6 s, and what is its position when t = 11 s ?

• v = 0
  s = 80.7 m

• v = 1
  s = 90.7 m

• v = 2
  s = 70.7 m

• v = 0.5
  s = 60.7 m

A particle has an initial velocity of Vo = 12ft/s to the right, at So = 0, determine its position when t = 10 s, if a = 2ft/s^2 to the left.

• 10ft

• 20ft

• 50ft

• 30ft

Find the distance traveled by a car with a velocity v(t) = 2t+5 in the first 5 hours:

• 500 km

• 50 km

• 25 km

• 125 Km

The acceleration versus time graph is shown for a moving particle. The velocity (m/s) from 0 to 30 seconds is most nearly: 

• 180 m/s

• 260 m/s

• 150 m/s

• 200 m/s

The car shown has speed of 80ft/s at point A and an acceleration 'a' having a magnitude of 10ft/s^2, acting in the direction shown.

Determine:

A) the radius of curvature of the path at point A

B) the tangential component of acceleration at point A

• A) 1000ft
  B) 3.5ft/s^2

• A) 2450ft
  B) 7.91ft/s^2

• A) 1580ft
  B) 2.09ft/s^2

• A) 1280ft
  B) 8.66ft/s^2

A ball rolls uphill from rest at point A reaching a velocity of 22.361 m/s at point B. The constant rate of acceleration is at = 0.5 m/s^2. Determine the ball’s acceleration when s = 101.68 m and x = 0: 

• 2.90 m/s^2

• 1.68 m/s^2

• 5.44 m/s^2

• 1.20 m/s^2

When a body is subjected to general plane motion, it undergoes:

• translation

• rotation

• a combination of translation and rotation

• either translation or rotation

All points in a rigid body subjected to translation move with:

• Same Velocity

• Same Acceleration

• Same Velocity and Acceleration

• None of the Above

When a wheel rolls on a flat surface with B moving to the right at 8ft/s and C is moving to the left at 4ft/s, determine the angular velocity of the wheel and the velocity of its center A:

• −10rad/s, 4ft/s

• −15rad/s, 2ft/s

• −20rad/s, 2ft/s

• −15rad/s, 4ft/s

Mass moment of inertia of a body is a property that measures the:

• Resistance of the body to angular acceleration

• Resistance of the body to angular pressure

• Resistance of the body to angular moment

• None of the Above