Practice Test Paper 3 - Revision history

Ian at 10:13, 8 April 2012

2012-04-08T10:13:23Z

←Older revision		Revision as of 10:13, 8 April 2012
Line 61:		Line 61:

	[[Image:test3.4.gif]]		[[Image:test3.4.gif]]
		+
		+

	(a) Find Q if the slope is smooth.		(a) Find Q if the slope is smooth.

Ian at 15:20, 4 April 2012

2012-04-04T15:20:25Z

←Older revision		Revision as of 15:20, 4 April 2012
Line 60:		Line 60:
	4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at 40<math> {}^\circ </math> to the horizontal.		4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at 40<math> {}^\circ </math> to the horizontal.

		+	[[Image:test3.4.gif]]

	(a) Find Q if the slope is smooth.		(a) Find Q if the slope is smooth.

Ian at 15:09, 4 April 2012

2012-04-04T15:09:19Z

←Older revision		Revision as of 15:09, 4 April 2012
Line 56:		Line 56:

	<p style="text-align: right;"> (''3 marks'')</P>		<p style="text-align: right;"> (''3 marks'')</P>
		+

	4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at 40<math> {}^\circ </math> to the horizontal.		4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at 40<math> {}^\circ </math> to the horizontal.
Line 67:		Line 68:

	<p style="text-align: right;"> (''2 marks'')</P>		<p style="text-align: right;"> (''2 marks'')</P>
		+

	5. A boat is initially at the origin, O, where it has velocity <math>(\mathbf{i}+\mathbf{j})\text{ m}{{\text{s}}^{\text{-1}}}</math>. It moves with constant acceleration of <math>(0\textrm{.}05\mathbf{i}-0\textrm{.}1\mathbf{j})\text{ m}{{\text{s}}^{\text{-2}}}</math>. The unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are directed east and north respectively.		5. A boat is initially at the origin, O, where it has velocity <math>(\mathbf{i}+\mathbf{j})\text{ m}{{\text{s}}^{\text{-1}}}</math>. It moves with constant acceleration of <math>(0\textrm{.}05\mathbf{i}-0\textrm{.}1\mathbf{j})\text{ m}{{\text{s}}^{\text{-2}}}</math>. The unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are directed east and north respectively.

Ian at 15:08, 4 April 2012

2012-04-04T15:08:16Z

Ian at 14:51, 4 April 2012

2012-04-04T14:51:12Z

←Older revision		Revision as of 14:51, 4 April 2012
Line 94:		Line 94:
	(b) Find the time it takes for the boat to move to the point where it is travelling south east		(b) Find the time it takes for the boat to move to the point where it is travelling south east

-	(<p style="text-align: right;"> (''4 marks'')</P>	+	<p style="text-align: right;"> (''4 marks'')</P>

	40 Marks		40 Marks

Ian at 14:16, 4 April 2012

2012-04-04T14:16:40Z

←Older revision		Revision as of 14:16, 4 April 2012
Line 41:		Line 41:


-	3. A block of mass 5 kg is placed on a rough inclined plane which is inclined at an angle of ~~42~~ to the horizontal. When released the block slides down the slope. The coefficient of friction between the block and the surface is 0.4.	+	3. A block of mass 5 kg is placed on a rough inclined plane which is inclined at an angle of 42<math>{}^\circ</math> to the horizontal. When released the block slides down the slope. The coefficient of friction between the block and the surface is 0.4.

	(a) Calculate the magnitude of the normal reaction force on the block.		(a) Calculate the magnitude of the normal reaction force on the block.

Ian at 14:13, 4 April 2012

2012-04-04T14:13:40Z

←Older revision		Revision as of 14:13, 4 April 2012
Line 25:		Line 25:

	(a) Draw a diagram to show the forces acting on the crate.		(a) Draw a diagram to show the forces acting on the crate.
-	(1 ~~mark~~)	+
		+	<p style="text-align: right;"> (''1 marks'')</P>
		+
	(b) Find the tension in the cable if rising at a constant speed.		(b) Find the tension in the cable if rising at a constant speed.
-	(1 ~~mark~~)	+
		+	<p style="text-align: right;"> (''1 marks'')</P>
		+
	(c) Find the tension in the cable if the crate is accelerating upwards at 0.6 ms-2.		(c) Find the tension in the cable if the crate is accelerating upwards at 0.6 ms-2.
-	(3 marks)	+
		+	<p style="text-align: right;"> (''3 marks'')</P>
		+
	(d) If the tension in the cable is 4800 N. Describe fully the acceleration of the crate.		(d) If the tension in the cable is 4800 N. Describe fully the acceleration of the crate.
-	(4 marks)	+
		+	<p style="text-align: right;"> (''4 marks'')</P>
		+

	3. A block of mass 5 kg is placed on a rough inclined plane which is inclined at an angle of 42 to the horizontal. When released the block slides down the slope. The coefficient of friction between the block and the surface is 0.4.		3. A block of mass 5 kg is placed on a rough inclined plane which is inclined at an angle of 42 to the horizontal. When released the block slides down the slope. The coefficient of friction between the block and the surface is 0.4.

	(a) Calculate the magnitude of the normal reaction force on the block.		(a) Calculate the magnitude of the normal reaction force on the block.
-	(2 marks)	+
		+	<p style="text-align: right;"> (''2 marks'')</P>
		+
	(b) Calculate the magnitude of the friction force acting on the block.		(b) Calculate the magnitude of the friction force acting on the block.
-	(2 marks)	+
		+	<p style="text-align: right;"> (''2 marks'')</P>
		+
	(c) Find the acceleration of the block as it slides down the slope.		(c) Find the acceleration of the block as it slides down the slope.
-	(3 marks)	+
		+	<p style="text-align: right;"> (''3 marks'')</P>
		+
	(d) Find the time that it would take the block to travel 2 metres.		(d) Find the time that it would take the block to travel 2 metres.
-	(3 marks)	+
		+	<p style="text-align: right;"> (''3 marks'')</P>
		+
		+	4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at 40 to the horizontal.
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+	(a) Find Q if the slope is smooth.
		+
		+	<p style="text-align: right;"> (''2 marks'')</P>
		+
		+	(b) Find Q if the coefficient of friction between the slope and the particle is 0.3
		+
		+	<p style="text-align: right;"> (''2 marks'')</P>
		+
		+	5. A boat is initially at the origin, O, where it has velocity . It moves with constant acceleration of . The unit vectors i and j are directed east and north respectively.
		+
		+	(a) Write down an expression for the velocity of the boat t seconds after it has left the origin.
		+
		+	<p style="text-align: right;"> (''2 marks'')</P>
		+
		+	(b) Find the time it takes for the boat to move to the point where it is travelling south east
		+
		+	(<p style="text-align: right;"> (''4 marks'')</P>
		+
		+	40 Marks

Ian at 14:02, 4 April 2012

2012-04-04T14:02:59Z

←Older revision		Revision as of 14:02, 4 April 2012
Line 8:		Line 8:


-	1. A ball is projected vertically upwards at 24.5 ms-1 from ground level. Assume that the ball is a particle and that no resistance forces act on it as it moves.	+	1. A ball is projected vertically upwards at 24.5 <math> \text{ m}{{\text{s}}^{-1}} </math>from ground level. Assume that the ball is a particle and that no resistance forces act on it as it moves.

	(a) Find the time that it takes the ball to reach its maximum height.		(a) Find the time that it takes the ball to reach its maximum height.
-	(3 marks)	+	<p style="text-align: right;"> (''3 marks'')</P>
		+
		+
	(b) Find the maximum height of the ball.		(b) Find the maximum height of the ball.
-	(3 marks)	+	<p style="text-align: right;"> (''3 marks'')</P>
		+
		+
	(c) State the total distance travelled by the ball.		(c) State the total distance travelled by the ball.
-	(1 ~~mark~~)	+	<p style="text-align: right;"> (''1 marks'')</P>
		+

	2. A crane lifts a crate of mass 500 kg using a single vertical cable.		2. A crane lifts a crate of mass 500 kg using a single vertical cable.

Ian at 13:58, 4 April 2012

2012-04-04T13:58:23Z

←Older revision		Revision as of 13:58, 4 April 2012
Line 1:		Line 1:
-	<math>\large {\underline{ {\textbf {Mechanics Test 2011(1 hour)}}}}</math>	+	<math>\large {\underline{ {\textbf {Mechanics Test 2011 (1 hour)}}}}</math>


-	(1 hour)

-	This test accounts for 50% of your final mechanics mark.	+
		+	'''This test accounts for 50% of your final mechanics mark.'''
		+
		+

	1. A ball is projected vertically upwards at 24.5 ms-1 from ground level. Assume that the ball is a particle and that no resistance forces act on it as it moves.		1. A ball is projected vertically upwards at 24.5 ms-1 from ground level. Assume that the ball is a particle and that no resistance forces act on it as it moves.

Ian: New page: $\large {\underline{ {\textbf {Mechanics Test 2011(1 hour)}}}}$ (1 hour) This test accounts for 50% of your final mechanics mark. 1. A ball is projected vertically upwards a...

2012-04-04T13:50:18Z

New page: <math>\large {\underline{ {\textbf {Mechanics Test 2011(1 hour)}}}}</math> (1 hour) This test accounts for 50% of your final mechanics mark. 1. A ball is projected vertically upwards a...

New page

<math>\large {\underline{ {\textbf {Mechanics Test 2011(1 hour)}}}}</math>

(1 hour)

This test accounts for 50% of your final mechanics mark.

1. A ball is projected vertically upwards at 24.5 ms-1 from ground level. Assume that the ball is a particle and that no resistance forces act on it as it moves.

(a) Find the time that it takes the ball to reach its maximum height.
(3 marks)
(b) Find the maximum height of the ball.
(3 marks)
(c) State the total distance travelled by the ball.
(1 mark)

2. A crane lifts a crate of mass 500 kg using a single vertical cable.

(a) Draw a diagram to show the forces acting on the crate.
(1 mark)
(b) Find the tension in the cable if rising at a constant speed.
(1 mark)
(c) Find the tension in the cable if the crate is accelerating upwards at 0.6 ms-2.
(3 marks)
(d) If the tension in the cable is 4800 N. Describe fully the acceleration of the crate.
(4 marks)

3. A block of mass 5 kg is placed on a rough inclined plane which is inclined at an angle of 42 to the horizontal. When released the block slides down the slope. The coefficient of friction between the block and the surface is 0.4.

(a) Calculate the magnitude of the normal reaction force on the block.
(2 marks)
(b) Calculate the magnitude of the friction force acting on the block.
(2 marks)
(c) Find the acceleration of the block as it slides down the slope.
(3 marks)
(d) Find the time that it would take the block to travel 2 metres.
(3 marks)

←Older revision		Revision as of 15:08, 4 April 2012
Line 12:		Line 12:
	(a) Find the time that it takes the ball to reach its maximum height.		(a) Find the time that it takes the ball to reach its maximum height.
	<p style="text-align: right;"> (''3 marks'')</P>		<p style="text-align: right;"> (''3 marks'')</P>
-

	(b) Find the maximum height of the ball.		(b) Find the maximum height of the ball.
	<p style="text-align: right;"> (''3 marks'')</P>		<p style="text-align: right;"> (''3 marks'')</P>
-

	(c) State the total distance travelled by the ball.		(c) State the total distance travelled by the ball.
Line 32:		Line 30:
	<p style="text-align: right;"> (''1 marks'')</P>		<p style="text-align: right;"> (''1 marks'')</P>

-	(c) Find the tension in the cable if the crate is accelerating upwards at 0.6 ms-2.	+	(c) Find the tension in the cable if the crate is accelerating upwards at 0.6 <math> \text{ m}{{\text{s}}^{-2} }</math>.

	<p style="text-align: right;"> (''3 marks'')</P>		<p style="text-align: right;"> (''3 marks'')</P>
Line 59:		Line 57:
	<p style="text-align: right;"> (''3 marks'')</P>		<p style="text-align: right;"> (''3 marks'')</P>

-	4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at ~~40~~ to the horizontal.	+	4. A particle, of mass 8 kg, is held at rest on an inclined plane by a horizontal force of magnitude Q N. The slope is inclined at 40<math> {}^\circ </math> to the horizontal.
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+
-		+


Line 86:		Line 68:
	<p style="text-align: right;"> (''2 marks'')</P>		<p style="text-align: right;"> (''2 marks'')</P>

-	5. A boat is initially at the origin, O, where it has velocity . It moves with constant acceleration of . The unit vectors i and j are directed east and north respectively.	+	5. A boat is initially at the origin, O, where it has velocity <math>(\mathbf{i}+\mathbf{j})\text{ m}{{\text{s}}^{\text{-1}}}</math>. It moves with constant acceleration of <math>(0\textrm{.}05\mathbf{i}-0\textrm{.}1\mathbf{j})\text{ m}{{\text{s}}^{\text{-2}}}</math>. The unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are directed east and north respectively.

-	(a) Write down an expression for the velocity of the boat t seconds after it has left the origin.	+	(a) Write down an expression for the velocity of the boat ''t'' seconds after it has left the origin.

	<p style="text-align: right;"> (''2 marks'')</P>		<p style="text-align: right;"> (''2 marks'')</P>
Line 96:		Line 78:
	<p style="text-align: right;"> (''4 marks'')</P>		<p style="text-align: right;"> (''4 marks'')</P>

-	40 Marks	+	'''40 Marks'''